Question

What is the simplest form of the following expression?

Answer 1

$\sqrt[3]{ \frac{12x ^{2} }{16y} } = \sqrt[3]{\frac{3x ^{2} }{4y} }$

Answer 2

Answer:

The simplest form of the following expression is $\sqrt[3]{\frac{3x^2}{4y}}$

Step-by-step explanation:

The given expression is

$\sqrt[3]{\frac{12x^2}{16y}}$

Factor the numerator and denominator.

$\sqrt[3]{\frac{3\times 4\times x^2}{4\times 4\times y}}$

3 is common factor. Cancel out the common factor.

$\sqrt[3]{\frac{3\times x^2}{4\times y}}$

$\sqrt[3]{\frac{3x^2}{4y}}$

Therefore the simplest form of the following expression is $\sqrt[3]{\frac{3x^2}{4y}}$.