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.

Question

asked Nov 13, 2024 47.3k views

1 Answer

Maxtwoknight · Answer 1 · 2024-11-17T15:03:40+0000

Answer:

∛(9x)/3

Explanation:

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

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.

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