AoPS

MATHEMATICS · Multi-part · AoPS · Mathematics · Follow the Rules · Follow the Rules

Problem

Let

E = 2\sqrt[3]{40}

. (i) Rewrite

E

as a single cube root. (ii) Simplify the cube root obtained in (i) so that the radicand is cube-free, and express the final answer in the form

a\sqrt[3]{b}

, where

a

and

b

are integers and

b

has no perfect cube factor other than

1