Question

I need help on a problem

Answer 1

Consider the given expression,

`\sqrt[]{32}`

Consider the formulae,

`\begin{gathered} x^(m+n)=x^mx^n \\ \sqrt[]{xy}=\sqrt[]{x}*\sqrt[]{y} \end{gathered}`

Then the expression can be solved as,

`\sqrt[]{32}=\sqrt[]{16*2}=\sqrt[]{16}*\sqrt[]{2}`

Thus, the expression can be further simplified as,

`\begin{gathered} \sqrt[]{32} \\ =\sqrt[]{16}*\sqrt[]{2} \\ =\sqrt[]{4^2}*\sqrt[]{2} \\ =4*\sqrt[]{2} \\ =4\sqrt[]{2} \end{gathered}`