Difference between revisions of "2021 MECC Mock AMC 12"

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==Problem 21==
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The exact value of <math>\sqrt{\sqrt{\sqrt{\sqrt{\frac{-1-\sqrt{3}i}{2}}}}}</math> can be expressed as <math>\frac{\sqrt{a}+\sqrt{b}+i\sqrt{c}-i\sqrt{d}}{e}</math> which the fraction is in the most simplified form and <math>a</math>, <math>b</math>, <math>c</math>, <math>d</math> and <math>e</math> are not necessary distinct positive integers. Find <math>2a+b+2c+d+e</math>

Latest revision as of 11:40, 21 April 2021


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 $2a+b+2c+d+e$