Question

Solve: $\sqrt[3]{364}$=(______)${}^2$

Answer 1

$\sqrt[3]{364}=(---{)}^2$

$\Rightarrow 64=4\times 16=4\times 4\times 4$

$64=(4{)}^3$

$64=\left[\right(2{)}^2{]}^3$

Now $\sqrt[3]{364}$ = $\left[\right[2^2{]}^3]1/3$=$[2{]}^2$

$\therefore$ value is 2.