Question

I don’t know how to start it… Does anybody have an idea how to do it? I have the answer, but I actually want to understand it.

Answer 1

∛(9x)/3

Explanation:

Apparently, you want to simplify the cube root expression ∛(x²/(3x)).

Simplify

The first step might be to cancel the common factor from numerator and denominator.

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

The next step is to make the denominator a perfect cube.

`\sqrt[3]{(x)/(3)}=\sqrt[3]{(9x)/(27)}=\boxed{\frac{\sqrt[3]{9x}}{3}}`