2021 MECC Mock AMC 12

Problem 21

The exact value of $\sqrt{\sqrt{\sqrt{\sqrt{\frac{-1-\sqrt{3}i}{2}}}}}$ can be expressed as $\frac{\sqrt{a}+\sqrt{b}+i\sqrt{c}-i\sqrt{d}}{e}$ which the fraction is in the most simplified form and $a$ , $b$ , $c$ , $d$ and $e$ are not necessary distinct positive integers. Find $2a+b+2c+d+e$

Page

Toolbox

Search

2021 MECC Mock AMC 12

Problem 21