# How do you simplify square root of 8 over 3 times the square root of 4?

Apr 2, 2018

$\frac{4 \sqrt{2}}{3}$

#### Explanation:

$\frac{\sqrt{8}}{3} \cdot \sqrt{4} =$

$\frac{\sqrt{4 \cdot 2}}{3} \cdot 2 =$

$\frac{2 \sqrt{2}}{3} \cdot 2 =$

$\frac{4 \sqrt{2}}{3}$

Apr 2, 2018

see a solution process below;

#### Explanation:

The question "square root of 8 over 3 times the square root of 4"is interpreted as;

$\frac{\sqrt{8}}{3} \times \sqrt{4}$

$\frac{\sqrt{8}}{3} \times \frac{\sqrt{4}}{1}$

$\frac{\sqrt{8}}{3} \times \frac{2}{1}$

$\frac{2 \sqrt{8}}{3}$

$\frac{2 \sqrt{2 \times 4}}{3}$

$\frac{2 \times 2 \sqrt{2}}{3}$

$\frac{4 \sqrt{2}}{3}$