Question

What is √12x^8/√3x^2 simplest form:

Answer 1

2x³

Step-by-step explanation:

Given the expression

`\frac{\sqrt[]{12x^8}}{\sqrt[]{3x^2}}`

Under the operation of division, we can combine the radicals as follows.

`=\sqrt[]{(12x^8)/(3x^2)}`

We then simplify:

`\begin{gathered} =\sqrt[]{4x^(8-2)} \\ =\sqrt[]{4x^6} \end{gathered}`

This can be further simplified to get:

`\begin{gathered} =\sqrt[]{4}*\sqrt[]{x^6} \\ =2* x^{6*(1)/(2)} \\ =2x^3 \end{gathered}`