Question

Simplify the radical expression. 3 to the square root of 64

Answer 1

let given problem as:

$y=\sqrt[3]{64}$

By using prime factorisation:

$y=\sqrt[3]{2\times2\times2\times2\times2\times2}$

By simplyfing it we can write it is:

$y=\sqrt[3]{4\times4\times4}$

or:

$\begin{gathered} y=(4^3)^{\frac{1}{3}} \\ y=4 \end{gathered}$

so the answe of cube rootof 64 is 4.