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*2*2*2*2*2}`

By simplyfing it we can write it is:

`y=\sqrt[3]{4*4*4}`

or:

`\begin{gathered} y=(4^3)^{(1)/(3)} \\ y=4 \end{gathered}`

so the answe of cube rootof 64 is 4.