Question

What is the simplified form of the following expression?

cube root of 4x/5

Answer 1

Answer:

$\frac{ \sqrt[3]{100x} }{5}$

Explanation:


1) Given expression:

$\sqrt[3]{ \frac{4x}{5} }$

2) Multiply inside the root by 25 / 25

$\sqrt[3]{ \frac{4x}{5} \frac{25}{25} } = \sqrt[3]{ \frac{100x}{125} }= \frac{ \sqrt[3]{100x} }{5}$

Answer 2

Answer:$\frac{\sqrt[3]{100x}}{5}$

Step-by-step explanation:

Given expression : cube root of $\frac{4x}{5}$

which is equivalent to $\sqrt[3]{\frac{4x}{5}}$

To simplify this we need to make denominator a perfect cube.

So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.

$\sqrt[3]{\frac{4x}{5}}=\sqrt[3]{\frac{4x}{5}\times\frac{25}{25}}\\=\sqrt[3]{\frac{100x}{125}}\\=\sqrt[3]{\frac{100x}{5^3}}\\=\frac{\sqrt[3]{100x}}{5}$