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[Title]
f(-a܂ނZZ)

% 蕶
% Ȃ΁C[Level1]ɏ̂̂܂ܖ蕶ƂȂB
[Problem]
̎vZB

% tHg̑傫B1`10C܂TeX̃R}hw肷B
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[FontSize]
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% vAuɒǉpbP[Wt@Cw肷B
[usepackage]
\usepackage{amssymb}

% ꂼ̖𓚂$\displaystyle $tꍇ́C@ON ܂1
% ꂼ̖𓚂$\displaystyle $tȂꍇ́COFF܂0
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% @@@@@@@@@@@@@@@@@@@ɂݒ肪D悳܂B
[displaystyle]
OFF


% Level1̖BȉLevel7܂œlB
% 1sڂɂ͏ڍאݒ̃^CgB
% 2sڈȍ~ɖƂ̉𓚂B
% Ɖ𓚁C𓚂Ɩ͂PsďB
% vZߒꍇ́CƉ𓚂̊ԂɂPsԊuC
% ŏprocessƂsC̎̍svZߒĂB
[Level1]
-a܂ނZ

$\sqrt{-2}\sqrt{-2}$

$-2$

$\sqrt{-2}\sqrt{-3}$

$-\sqrt{6}$

$\sqrt{-2}\sqrt{-4}$

$-2\sqrt{2}$

$\sqrt{-2}\sqrt{-6}$

$-2\sqrt{3}$

$\sqrt{-2}\sqrt{-8}$

$-4$

$\sqrt{-2}\sqrt{-10}$

$-2\sqrt{5}$

$\sqrt{-2}\sqrt{-12}$

$-2\sqrt{6}$

$\sqrt{-3}\sqrt{-3}$

$-3$

$\sqrt{-3}\sqrt{-4}$

$-2\sqrt{3}$

$\sqrt{-3}\sqrt{-5}$

$-\sqrt{15}$

$\sqrt{-3}\sqrt{-6}$

$-3\sqrt{2}$

$\sqrt{-3}\sqrt{-8}$

$-2\sqrt{6}$

$\sqrt{-3}\sqrt{-9}$

$-3\sqrt{3}$

$\sqrt{-3}\sqrt{-12}$

$-6$

$\sqrt{-4}\sqrt{-4}$

$-4$

$\sqrt{-4}\sqrt{-6}$

$-2\sqrt{6}$

$\sqrt{-4}\sqrt{-8}$

$-4\sqrt{2}$

$\sqrt{-4}\sqrt{-10}$

$-2\sqrt{10}$

$\sqrt{-4}\sqrt{-12}$

$-4\sqrt{3}$

$\sqrt{-5}\sqrt{-5}$

$-5$

$\sqrt{-5}\sqrt{-10}$

$-5\sqrt{2}$

$\sqrt{-6}\sqrt{-6}$

$-6$

$\sqrt{-6}\sqrt{-8}$

$-4\sqrt{3}$

$\sqrt{-6}\sqrt{-10}$

$-2\sqrt{15}$

$\sqrt{-6}\sqrt{-12}$

$-6\sqrt{2}$

$\sqrt{-8}\sqrt{-8}$

$-8$

$\sqrt{-8}\sqrt{-10}$

$-4\sqrt{5}$

$\sqrt{2}\sqrt{-2}$

$2\,i$

$\sqrt{2}\sqrt{-3}$

$\sqrt{6}\,i$

$\sqrt{2}\sqrt{-4}$

$2\sqrt{2}\,i$

$\sqrt{2}\sqrt{-6}$

$2\sqrt{3}\,i$

$\sqrt{2}\sqrt{-8}$

$4\,i$

$\sqrt{2}\sqrt{-10}$

$2\sqrt{5}\,i$

$\sqrt{2}\sqrt{-12}$

$2\sqrt{6}\,i$

$\sqrt{3}\sqrt{-3}$

$3\,i$

$\sqrt{3}\sqrt{-4}$

$2\sqrt{3}\,i$

$\sqrt{3}\sqrt{-5}$

$\sqrt{15}\,i$

$\sqrt{3}\sqrt{-6}$

$3\sqrt{2}\,i$

$\sqrt{3}\sqrt{-8}$

$2\sqrt{6}\,i$

$\sqrt{3}\sqrt{-9}$

$3\sqrt{3}\,i$

$\sqrt{3}\sqrt{-12}$

$6\,i$

$\sqrt{4}\sqrt{-4}$

$4\,i$

$\sqrt{4}\sqrt{-6}$

$2\sqrt{6}\,i$

$\sqrt{4}\sqrt{-8}$

$4\sqrt{2}\,i$

$\sqrt{4}\sqrt{-10}$

$2\sqrt{10}\,i$

$\sqrt{4}\sqrt{-12}$

$4\sqrt{3}\,i$

$\sqrt{5}\sqrt{-5}$

$5\,i$

$\sqrt{5}\sqrt{-10}$

$5\sqrt{2}\,i$

$\sqrt{6}\sqrt{-6}$

$6\,i$

$\sqrt{6}\sqrt{-8}$

$4\sqrt{3}\,i$

$\sqrt{6}\sqrt{-10}$

$2\sqrt{15}\,i$

$\sqrt{6}\sqrt{-12}$

$6\sqrt{2}\,i$

$\sqrt{8}\sqrt{-8}$

$8\,i$

$\sqrt{8}\sqrt{-10}$

$4\sqrt{5}\,i$

$\sqrt{-2}\sqrt{2}$

$2\,i$

$\sqrt{-2}\sqrt{3}$

$\sqrt{6}\,i$

$\sqrt{-2}\sqrt{4}$

$2\sqrt{2}\,i$

$\sqrt{-2}\sqrt{6}$

$2\sqrt{3}\,i$

$\sqrt{-2}\sqrt{8}$

$4\,i$

$\sqrt{-2}\sqrt{10}$

$2\sqrt{5}\,i$

$\sqrt{-2}\sqrt{12}$

$2\sqrt{6}\,i$

$\sqrt{-3}\sqrt{3}$

$3\,i$

$\sqrt{-3}\sqrt{4}$

$2\sqrt{3}\,i$

$\sqrt{-3}\sqrt{5}$

$\sqrt{15}\,i$

$\sqrt{-3}\sqrt{6}$

$3\sqrt{2}\,i$

$\sqrt{-3}\sqrt{8}$

$2\sqrt{6}\,i$

$\sqrt{-3}\sqrt{9}$

$3\sqrt{3}\,i$

$\sqrt{-3}\sqrt{12}$

$6\,i$

$\sqrt{-4}\sqrt{4}$

$4\,i$

$\sqrt{-4}\sqrt{6}$

$2\sqrt{6}\,i$

$\sqrt{-4}\sqrt{8}$

$4\sqrt{2}\,i$

$\sqrt{-4}\sqrt{10}$

$2\sqrt{10}\,i$

$\sqrt{-4}\sqrt{12}$

$4\sqrt{3}\,i$

$\sqrt{-5}\sqrt{5}$

$5\,i$

$\sqrt{-5}\sqrt{10}$

$5\sqrt{2}\,i$

$\sqrt{-6}\sqrt{6}$

$6\,i$

$\sqrt{-6}\sqrt{8}$

$4\sqrt{3}\,i$

$\sqrt{-6}\sqrt{10}$

$2\sqrt{15}\,i$

$\sqrt{-6}\sqrt{12}$

$6\sqrt{2}\,i$

$\sqrt{-8}\sqrt{8}$

$8\,i$

$\sqrt{-8}\sqrt{10}$

$4\sqrt{5}\,i$





[Level2]
-a܂ނZ(LȂ)



$\nfrac{\sqrt{-2}}{\sqrt{-4}}$

$\nfrac{\sqrt{2}}{2}$

$\nfrac{\sqrt{-3}}{\sqrt{-4}}$

$\nfrac{\sqrt{3}}{2}$

$\nfrac{\sqrt{-6}}{\sqrt{-4}}$

$\nfrac{\sqrt{6}}{2}$

$\nfrac{\sqrt{-8}}{\sqrt{-4}}$

$\sqrt{2}$

$\nfrac{\sqrt{-9}}{\sqrt{-4}}$

$\nfrac{3}{2}$

$\nfrac{\sqrt{-12}}{\sqrt{-4}}$

$\sqrt{3}$

$\nfrac{\sqrt{2}}{\sqrt{-4}}$

$-\nfrac{\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{3}}{\sqrt{-4}}$

$-\nfrac{\sqrt{3}}{2}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-4}}$

$-\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-4}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{9}}{\sqrt{-4}}$

$-\nfrac{3}{2}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-4}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{4}}$

$\nfrac{\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{-3}}{\sqrt{4}}$

$\nfrac{\sqrt{3}}{2}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{4}}$

$\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{4}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{4}}$

$\nfrac{3}{2}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{4}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-4}}{\sqrt{-2}}$

$\sqrt{2}$

$\nfrac{\sqrt{-6}}{\sqrt{-2}}$

$\sqrt{3}$

$\nfrac{\sqrt{-8}}{\sqrt{-2}}$

$2$

$\nfrac{\sqrt{-10}}{\sqrt{-2}}$

$\sqrt{5}$

$\nfrac{\sqrt{-12}}{\sqrt{-2}}$

$\sqrt{6}$

$\nfrac{\sqrt{-6}}{\sqrt{-3}}$

$\sqrt{2}$

$\nfrac{\sqrt{-9}}{\sqrt{-3}}$

$\sqrt{3}$

$\nfrac{\sqrt{-12}}{\sqrt{-3}}$

$2$

$\nfrac{\sqrt{4}}{\sqrt{-2}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-2}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-2}}$

$-2\,i$

$\nfrac{\sqrt{10}}{\sqrt{-2}}$

$-\sqrt{5}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-2}}$

$-\sqrt{6}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-3}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{9}}{\sqrt{-3}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-3}}$

$-2\,i$

$\nfrac{\sqrt{-4}}{\sqrt{2}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{2}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{2}}$

$2\,i$

$\nfrac{\sqrt{-10}}{\sqrt{2}}$

$\sqrt{5}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{2}}$

$\sqrt{6}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{3}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{3}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{3}}$

$2\,i$





[Level3]
-a܂ނZ(L)

$\nfrac{\sqrt{-3}}{\sqrt{-2}}$

$\nfrac{\sqrt{6}}{2}$

$\nfrac{\sqrt{-5}}{\sqrt{-2}}$

$\nfrac{\sqrt{10}}{2}$

$\nfrac{\sqrt{-7}}{\sqrt{-2}}$

$\nfrac{\sqrt{14}}{2}$

$\nfrac{\sqrt{-11}}{\sqrt{-2}}$

$\nfrac{\sqrt{22}}{2}$

$\nfrac{\sqrt{-2}}{\sqrt{-3}}$

$\nfrac{\sqrt{6}}{3}$

$\nfrac{\sqrt{-5}}{\sqrt{-3}}$

$\nfrac{\sqrt{15}}{3}$

$\nfrac{\sqrt{-7}}{\sqrt{-3}}$

$\nfrac{\sqrt{21}}{3}$

$\nfrac{\sqrt{-10}}{\sqrt{-3}}$

$\nfrac{\sqrt{30}}{3}$

$\nfrac{\sqrt{-11}}{\sqrt{-3}}$

$\nfrac{\sqrt{33}}{3}$

$\nfrac{\sqrt{3}}{\sqrt{-2}}$

$-\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{5}}{\sqrt{-2}}$

$-\nfrac{\sqrt{10}}{2}\,i$

$\nfrac{\sqrt{7}}{\sqrt{-2}}$

$-\nfrac{\sqrt{14}}{2}\,i$

$\nfrac{\sqrt{11}}{\sqrt{-2}}$

$-\nfrac{\sqrt{22}}{2}\,i$

$\nfrac{\sqrt{2}}{\sqrt{-3}}$

$-\nfrac{\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{5}}{\sqrt{-3}}$

$-\nfrac{\sqrt{15}}{3}\,i$

$\nfrac{\sqrt{7}}{\sqrt{-3}}$

$-\nfrac{\sqrt{21}}{3}\,i$

$\nfrac{\sqrt{10}}{\sqrt{-3}}$

$-\nfrac{\sqrt{30}}{3}\,i$

$\nfrac{\sqrt{11}}{\sqrt{-3}}$

$-\nfrac{\sqrt{33}}{3}\,i$

$\nfrac{\sqrt{-3}}{\sqrt{2}}$

$\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{-5}}{\sqrt{2}}$

$\nfrac{\sqrt{10}}{2}\,i$

$\nfrac{\sqrt{-7}}{\sqrt{2}}$

$\nfrac{\sqrt{14}}{2}\,i$

$\nfrac{\sqrt{-11}}{\sqrt{2}}$

$\nfrac{\sqrt{22}}{2}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{3}}$

$\nfrac{\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-5}}{\sqrt{3}}$

$\nfrac{\sqrt{15}}{3}\,i$

$\nfrac{\sqrt{-7}}{\sqrt{3}}$

$\nfrac{\sqrt{21}}{3}\,i$

$\nfrac{\sqrt{-10}}{\sqrt{3}}$

$\nfrac{\sqrt{30}}{3}\,i$

$\nfrac{\sqrt{-11}}{\sqrt{3}}$

$\nfrac{\sqrt{33}}{3}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{-2}}$

$\nfrac{3\sqrt{2}}{2}$

$\nfrac{\sqrt{-4}}{\sqrt{-3}}$

$\nfrac{2\sqrt{3}}{3}$

$\nfrac{\sqrt{-8}}{\sqrt{-3}}$

$\nfrac{2\sqrt{6}}{3}$

$\nfrac{\sqrt{9}}{\sqrt{-2}}$

$-\nfrac{3\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{4}}{\sqrt{-3}}$

$-\nfrac{2\sqrt{3}}{3}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-3}}$

$-\nfrac{2\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{2}}$

$\nfrac{3\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{-4}}{\sqrt{3}}$

$\nfrac{2\sqrt{3}}{3}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{3}}$

$\nfrac{2\sqrt{6}}{3}\,i$


[Level4]
-a܂ނZ(Level23)


$\nfrac{\sqrt{-3}}{\sqrt{-2}}$

$\nfrac{\sqrt{6}}{2}$

$\nfrac{\sqrt{-5}}{\sqrt{-2}}$

$\nfrac{\sqrt{10}}{2}$

$\nfrac{\sqrt{-7}}{\sqrt{-2}}$

$\nfrac{\sqrt{14}}{2}$

$\nfrac{\sqrt{-11}}{\sqrt{-2}}$

$\nfrac{\sqrt{22}}{2}$

$\nfrac{\sqrt{-2}}{\sqrt{-3}}$

$\nfrac{\sqrt{6}}{3}$

$\nfrac{\sqrt{-5}}{\sqrt{-3}}$

$\nfrac{\sqrt{15}}{3}$

$\nfrac{\sqrt{-7}}{\sqrt{-3}}$

$\nfrac{\sqrt{21}}{3}$

$\nfrac{\sqrt{-10}}{\sqrt{-3}}$

$\nfrac{\sqrt{30}}{3}$

$\nfrac{\sqrt{-11}}{\sqrt{-3}}$

$\nfrac{\sqrt{33}}{3}$

$\nfrac{\sqrt{3}}{\sqrt{-2}}$

$-\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{5}}{\sqrt{-2}}$

$-\nfrac{\sqrt{10}}{2}\,i$

$\nfrac{\sqrt{7}}{\sqrt{-2}}$

$-\nfrac{\sqrt{14}}{2}\,i$

$\nfrac{\sqrt{11}}{\sqrt{-2}}$

$-\nfrac{\sqrt{22}}{2}\,i$

$\nfrac{\sqrt{2}}{\sqrt{-3}}$

$-\nfrac{\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{5}}{\sqrt{-3}}$

$-\nfrac{\sqrt{15}}{3}\,i$

$\nfrac{\sqrt{7}}{\sqrt{-3}}$

$-\nfrac{\sqrt{21}}{3}\,i$

$\nfrac{\sqrt{10}}{\sqrt{-3}}$

$-\nfrac{\sqrt{30}}{3}\,i$

$\nfrac{\sqrt{11}}{\sqrt{-3}}$

$-\nfrac{\sqrt{33}}{3}\,i$

$\nfrac{\sqrt{-3}}{\sqrt{2}}$

$\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{-5}}{\sqrt{2}}$

$\nfrac{\sqrt{10}}{2}\,i$

$\nfrac{\sqrt{-7}}{\sqrt{2}}$

$\nfrac{\sqrt{14}}{2}\,i$

$\nfrac{\sqrt{-11}}{\sqrt{2}}$

$\nfrac{\sqrt{22}}{2}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{3}}$

$\nfrac{\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-5}}{\sqrt{3}}$

$\nfrac{\sqrt{15}}{3}\,i$

$\nfrac{\sqrt{-7}}{\sqrt{3}}$

$\nfrac{\sqrt{21}}{3}\,i$

$\nfrac{\sqrt{-10}}{\sqrt{3}}$

$\nfrac{\sqrt{30}}{3}\,i$

$\nfrac{\sqrt{-11}}{\sqrt{3}}$

$\nfrac{\sqrt{33}}{3}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{-2}}$

$\nfrac{3\sqrt{2}}{2}$

$\nfrac{\sqrt{-4}}{\sqrt{-3}}$

$\nfrac{2\sqrt{3}}{3}$

$\nfrac{\sqrt{-8}}{\sqrt{-3}}$

$\nfrac{2\sqrt{6}}{3}$

$\nfrac{\sqrt{9}}{\sqrt{-2}}$

$-\nfrac{3\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{4}}{\sqrt{-3}}$

$-\nfrac{2\sqrt{3}}{3}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-3}}$

$-\nfrac{2\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{2}}$

$\nfrac{3\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{-4}}{\sqrt{3}}$

$\nfrac{2\sqrt{3}}{3}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{3}}$

$\nfrac{2\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{-4}}$

$\nfrac{\sqrt{2}}{2}$

$\nfrac{\sqrt{-3}}{\sqrt{-4}}$

$\nfrac{\sqrt{3}}{2}$

$\nfrac{\sqrt{-6}}{\sqrt{-4}}$

$\nfrac{\sqrt{6}}{2}$

$\nfrac{\sqrt{-8}}{\sqrt{-4}}$

$\sqrt{2}$

$\nfrac{\sqrt{-9}}{\sqrt{-4}}$

$\nfrac{3}{2}$

$\nfrac{\sqrt{-12}}{\sqrt{-4}}$

$\sqrt{3}$

$\nfrac{\sqrt{2}}{\sqrt{-4}}$

$-\nfrac{\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{3}}{\sqrt{-4}}$

$-\nfrac{\sqrt{3}}{2}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-4}}$

$-\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-4}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{9}}{\sqrt{-4}}$

$-\nfrac{3}{2}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-4}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{4}}$

$\nfrac{\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{-3}}{\sqrt{4}}$

$\nfrac{\sqrt{3}}{2}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{4}}$

$\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{4}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{4}}$

$\nfrac{3}{2}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{4}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-4}}{\sqrt{-2}}$

$\sqrt{2}$

$\nfrac{\sqrt{-6}}{\sqrt{-2}}$

$\sqrt{3}$

$\nfrac{\sqrt{-8}}{\sqrt{-2}}$

$2$

$\nfrac{\sqrt{-10}}{\sqrt{-2}}$

$\sqrt{5}$

$\nfrac{\sqrt{-12}}{\sqrt{-2}}$

$\sqrt{6}$

$\nfrac{\sqrt{-6}}{\sqrt{-3}}$

$\sqrt{2}$

$\nfrac{\sqrt{-9}}{\sqrt{-3}}$

$\sqrt{3}$

$\nfrac{\sqrt{-12}}{\sqrt{-3}}$

$2$

$\nfrac{\sqrt{4}}{\sqrt{-2}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-2}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-2}}$

$-2\,i$

$\nfrac{\sqrt{10}}{\sqrt{-2}}$

$-\sqrt{5}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-2}}$

$-\sqrt{6}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-3}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{9}}{\sqrt{-3}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-3}}$

$-2\,i$

$\nfrac{\sqrt{-4}}{\sqrt{2}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{2}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{2}}$

$2\,i$

$\nfrac{\sqrt{-10}}{\sqrt{2}}$

$\sqrt{5}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{2}}$

$\sqrt{6}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{3}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{3}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{3}}$

$2\,i$




[Level5]
-a܂ނZZ(Level1`4)


$\sqrt{-2}\sqrt{-2}$

$-2$

$\sqrt{-2}\sqrt{-3}$

$-\sqrt{6}$

$\sqrt{-2}\sqrt{-4}$

$-2\sqrt{2}$

$\sqrt{-2}\sqrt{-6}$

$-2\sqrt{3}$

$\sqrt{-2}\sqrt{-8}$

$-4$

$\sqrt{-2}\sqrt{-10}$

$-2\sqrt{5}$

$\sqrt{-2}\sqrt{-12}$

$-2\sqrt{6}$

$\sqrt{-3}\sqrt{-3}$

$-3$

$\sqrt{-3}\sqrt{-4}$

$-2\sqrt{3}$

$\sqrt{-3}\sqrt{-5}$

$-\sqrt{15}$

$\sqrt{-3}\sqrt{-6}$

$-3\sqrt{2}$

$\sqrt{-3}\sqrt{-8}$

$-2\sqrt{6}$

$\sqrt{-3}\sqrt{-9}$

$-3\sqrt{3}$

$\sqrt{-3}\sqrt{-12}$

$-6$

$\sqrt{-4}\sqrt{-4}$

$-4$

$\sqrt{-4}\sqrt{-6}$

$-2\sqrt{6}$

$\sqrt{-4}\sqrt{-8}$

$-4\sqrt{2}$

$\sqrt{-4}\sqrt{-10}$

$-2\sqrt{10}$

$\sqrt{-4}\sqrt{-12}$

$-4\sqrt{3}$

$\sqrt{-5}\sqrt{-5}$

$-5$

$\sqrt{-5}\sqrt{-10}$

$-5\sqrt{2}$

$\sqrt{-6}\sqrt{-6}$

$-6$

$\sqrt{-6}\sqrt{-8}$

$-4\sqrt{3}$

$\sqrt{-6}\sqrt{-10}$

$-2\sqrt{15}$

$\sqrt{-6}\sqrt{-12}$

$-6\sqrt{2}$

$\sqrt{-8}\sqrt{-8}$

$-8$

$\sqrt{-8}\sqrt{-10}$

$-4\sqrt{5}$

$\sqrt{2}\sqrt{-2}$

$2\,i$

$\sqrt{2}\sqrt{-3}$

$\sqrt{6}\,i$

$\sqrt{2}\sqrt{-4}$

$2\sqrt{2}\,i$

$\sqrt{2}\sqrt{-6}$

$2\sqrt{3}\,i$

$\sqrt{2}\sqrt{-8}$

$4\,i$

$\sqrt{2}\sqrt{-10}$

$2\sqrt{5}\,i$

$\sqrt{2}\sqrt{-12}$

$2\sqrt{6}\,i$

$\sqrt{3}\sqrt{-3}$

$3\,i$

$\sqrt{3}\sqrt{-4}$

$2\sqrt{3}\,i$

$\sqrt{3}\sqrt{-5}$

$\sqrt{15}\,i$

$\sqrt{3}\sqrt{-6}$

$3\sqrt{2}\,i$

$\sqrt{3}\sqrt{-8}$

$2\sqrt{6}\,i$

$\sqrt{3}\sqrt{-9}$

$3\sqrt{3}\,i$

$\sqrt{3}\sqrt{-12}$

$6\,i$

$\sqrt{4}\sqrt{-4}$

$4\,i$

$\sqrt{4}\sqrt{-6}$

$2\sqrt{6}\,i$

$\sqrt{4}\sqrt{-8}$

$4\sqrt{2}\,i$

$\sqrt{4}\sqrt{-10}$

$2\sqrt{10}\,i$

$\sqrt{4}\sqrt{-12}$

$4\sqrt{3}\,i$

$\sqrt{5}\sqrt{-5}$

$5\,i$

$\sqrt{5}\sqrt{-10}$

$5\sqrt{2}\,i$

$\sqrt{6}\sqrt{-6}$

$6\,i$

$\sqrt{6}\sqrt{-8}$

$4\sqrt{3}\,i$

$\sqrt{6}\sqrt{-10}$

$2\sqrt{15}\,i$

$\sqrt{6}\sqrt{-12}$

$6\sqrt{2}\,i$

$\sqrt{8}\sqrt{-8}$

$8\,i$

$\sqrt{8}\sqrt{-10}$

$4\sqrt{5}\,i$

$\sqrt{-2}\sqrt{2}$

$2\,i$

$\sqrt{-2}\sqrt{3}$

$\sqrt{6}\,i$

$\sqrt{-2}\sqrt{4}$

$2\sqrt{2}\,i$

$\sqrt{-2}\sqrt{6}$

$2\sqrt{3}\,i$

$\sqrt{-2}\sqrt{8}$

$4\,i$

$\sqrt{-2}\sqrt{10}$

$2\sqrt{5}\,i$

$\sqrt{-2}\sqrt{12}$

$2\sqrt{6}\,i$

$\sqrt{-3}\sqrt{3}$

$3\,i$

$\sqrt{-3}\sqrt{4}$

$2\sqrt{3}\,i$

$\sqrt{-3}\sqrt{5}$

$\sqrt{15}\,i$

$\sqrt{-3}\sqrt{6}$

$3\sqrt{2}\,i$

$\sqrt{-3}\sqrt{8}$

$2\sqrt{6}\,i$

$\sqrt{-3}\sqrt{9}$

$3\sqrt{3}\,i$

$\sqrt{-3}\sqrt{12}$

$6\,i$

$\sqrt{-4}\sqrt{4}$

$4\,i$

$\sqrt{-4}\sqrt{6}$

$2\sqrt{6}\,i$

$\sqrt{-4}\sqrt{8}$

$4\sqrt{2}\,i$

$\sqrt{-4}\sqrt{10}$

$2\sqrt{10}\,i$

$\sqrt{-4}\sqrt{12}$

$4\sqrt{3}\,i$

$\sqrt{-5}\sqrt{5}$

$5\,i$

$\sqrt{-5}\sqrt{10}$

$5\sqrt{2}\,i$

$\sqrt{-6}\sqrt{6}$

$6\,i$

$\sqrt{-6}\sqrt{8}$

$4\sqrt{3}\,i$

$\sqrt{-6}\sqrt{10}$

$2\sqrt{15}\,i$

$\sqrt{-6}\sqrt{12}$

$6\sqrt{2}\,i$

$\sqrt{-8}\sqrt{8}$

$8\,i$

$\sqrt{-8}\sqrt{10}$

$4\sqrt{5}\,i$


$\nfrac{\sqrt{-3}}{\sqrt{-2}}$

$\nfrac{\sqrt{6}}{2}$

$\nfrac{\sqrt{-5}}{\sqrt{-2}}$

$\nfrac{\sqrt{10}}{2}$

$\nfrac{\sqrt{-7}}{\sqrt{-2}}$

$\nfrac{\sqrt{14}}{2}$

$\nfrac{\sqrt{-11}}{\sqrt{-2}}$

$\nfrac{\sqrt{22}}{2}$

$\nfrac{\sqrt{-2}}{\sqrt{-3}}$

$\nfrac{\sqrt{6}}{3}$

$\nfrac{\sqrt{-5}}{\sqrt{-3}}$

$\nfrac{\sqrt{15}}{3}$

$\nfrac{\sqrt{-7}}{\sqrt{-3}}$

$\nfrac{\sqrt{21}}{3}$

$\nfrac{\sqrt{-10}}{\sqrt{-3}}$

$\nfrac{\sqrt{30}}{3}$

$\nfrac{\sqrt{-11}}{\sqrt{-3}}$

$\nfrac{\sqrt{33}}{3}$

$\nfrac{\sqrt{3}}{\sqrt{-2}}$

$-\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{5}}{\sqrt{-2}}$

$-\nfrac{\sqrt{10}}{2}\,i$

$\nfrac{\sqrt{7}}{\sqrt{-2}}$

$-\nfrac{\sqrt{14}}{2}\,i$

$\nfrac{\sqrt{11}}{\sqrt{-2}}$

$-\nfrac{\sqrt{22}}{2}\,i$

$\nfrac{\sqrt{2}}{\sqrt{-3}}$

$-\nfrac{\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{5}}{\sqrt{-3}}$

$-\nfrac{\sqrt{15}}{3}\,i$

$\nfrac{\sqrt{7}}{\sqrt{-3}}$

$-\nfrac{\sqrt{21}}{3}\,i$

$\nfrac{\sqrt{10}}{\sqrt{-3}}$

$-\nfrac{\sqrt{30}}{3}\,i$

$\nfrac{\sqrt{11}}{\sqrt{-3}}$

$-\nfrac{\sqrt{33}}{3}\,i$

$\nfrac{\sqrt{-3}}{\sqrt{2}}$

$\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{-5}}{\sqrt{2}}$

$\nfrac{\sqrt{10}}{2}\,i$

$\nfrac{\sqrt{-7}}{\sqrt{2}}$

$\nfrac{\sqrt{14}}{2}\,i$

$\nfrac{\sqrt{-11}}{\sqrt{2}}$

$\nfrac{\sqrt{22}}{2}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{3}}$

$\nfrac{\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-5}}{\sqrt{3}}$

$\nfrac{\sqrt{15}}{3}\,i$

$\nfrac{\sqrt{-7}}{\sqrt{3}}$

$\nfrac{\sqrt{21}}{3}\,i$

$\nfrac{\sqrt{-10}}{\sqrt{3}}$

$\nfrac{\sqrt{30}}{3}\,i$

$\nfrac{\sqrt{-11}}{\sqrt{3}}$

$\nfrac{\sqrt{33}}{3}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{-2}}$

$\nfrac{3\sqrt{2}}{2}$

$\nfrac{\sqrt{-4}}{\sqrt{-3}}$

$\nfrac{2\sqrt{3}}{3}$

$\nfrac{\sqrt{-8}}{\sqrt{-3}}$

$\nfrac{2\sqrt{6}}{3}$

$\nfrac{\sqrt{9}}{\sqrt{-2}}$

$-\nfrac{3\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{4}}{\sqrt{-3}}$

$-\nfrac{2\sqrt{3}}{3}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-3}}$

$-\nfrac{2\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{2}}$

$\nfrac{3\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{-4}}{\sqrt{3}}$

$\nfrac{2\sqrt{3}}{3}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{3}}$

$\nfrac{2\sqrt{6}}{3}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{-4}}$

$\nfrac{\sqrt{2}}{2}$

$\nfrac{\sqrt{-3}}{\sqrt{-4}}$

$\nfrac{\sqrt{3}}{2}$

$\nfrac{\sqrt{-6}}{\sqrt{-4}}$

$\nfrac{\sqrt{6}}{2}$

$\nfrac{\sqrt{-8}}{\sqrt{-4}}$

$\sqrt{2}$

$\nfrac{\sqrt{-9}}{\sqrt{-4}}$

$\nfrac{3}{2}$

$\nfrac{\sqrt{-12}}{\sqrt{-4}}$

$\sqrt{3}$

$\nfrac{\sqrt{2}}{\sqrt{-4}}$

$-\nfrac{\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{3}}{\sqrt{-4}}$

$-\nfrac{\sqrt{3}}{2}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-4}}$

$-\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-4}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{9}}{\sqrt{-4}}$

$-\nfrac{3}{2}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-4}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{-2}}{\sqrt{4}}$

$\nfrac{\sqrt{2}}{2}\,i$

$\nfrac{\sqrt{-3}}{\sqrt{4}}$

$\nfrac{\sqrt{3}}{2}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{4}}$

$\nfrac{\sqrt{6}}{2}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{4}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{4}}$

$\nfrac{3}{2}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{4}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-4}}{\sqrt{-2}}$

$\sqrt{2}$

$\nfrac{\sqrt{-6}}{\sqrt{-2}}$

$\sqrt{3}$

$\nfrac{\sqrt{-8}}{\sqrt{-2}}$

$2$

$\nfrac{\sqrt{-10}}{\sqrt{-2}}$

$\sqrt{5}$

$\nfrac{\sqrt{-12}}{\sqrt{-2}}$

$\sqrt{6}$

$\nfrac{\sqrt{-6}}{\sqrt{-3}}$

$\sqrt{2}$

$\nfrac{\sqrt{-9}}{\sqrt{-3}}$

$\sqrt{3}$

$\nfrac{\sqrt{-12}}{\sqrt{-3}}$

$2$

$\nfrac{\sqrt{4}}{\sqrt{-2}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-2}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{8}}{\sqrt{-2}}$

$-2\,i$

$\nfrac{\sqrt{10}}{\sqrt{-2}}$

$-\sqrt{5}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-2}}$

$-\sqrt{6}\,i$

$\nfrac{\sqrt{6}}{\sqrt{-3}}$

$-\sqrt{2}\,i$

$\nfrac{\sqrt{9}}{\sqrt{-3}}$

$-\sqrt{3}\,i$

$\nfrac{\sqrt{12}}{\sqrt{-3}}$

$-2\,i$

$\nfrac{\sqrt{-4}}{\sqrt{2}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{2}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-8}}{\sqrt{2}}$

$2\,i$

$\nfrac{\sqrt{-10}}{\sqrt{2}}$

$\sqrt{5}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{2}}$

$\sqrt{6}\,i$

$\nfrac{\sqrt{-6}}{\sqrt{3}}$

$\sqrt{2}\,i$

$\nfrac{\sqrt{-9}}{\sqrt{3}}$

$\sqrt{3}\,i$

$\nfrac{\sqrt{-12}}{\sqrt{3}}$

$2\,i$




[Level6]






[Level7]




[EOF]

