Question

U.Simplify. (Assume the variable represents a positiv76x5

Answer 1

Given expression is

$\sqrt[]{76x^5}$

To simplify the above expression.

On factorizing 76,

$\begin{gathered} \sqrt[]{76}=\sqrt[]{2\times2\times19} \\ =2\sqrt[]{19} \end{gathered}$

Again,

$\begin{gathered} \sqrt[]{x^5}=\sqrt[]{x^2\times x^2\times x} \\ =x^2\sqrt[]{x} \end{gathered}$

Therefore,

$\begin{gathered} \sqrt[]{76x^5}=\sqrt[]{76}\sqrt[]{x^5} \\ =(2\sqrt[]{19})(x^2\sqrt[]{x}) \\ =2x^2\sqrt[]{19x} \end{gathered}$