# How do you simplify 5 the square root of 8 • 4 the square root of 7?

Apr 11, 2018

$40 \sqrt{14}$

#### Explanation:

$\text{using the "color(blue)"law of radicals}$

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$\Rightarrow \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2 \sqrt{2}$

$\sqrt{7} \text{ does not simplify}$

$\Rightarrow 5 \times \sqrt{8} \times 4 \times \sqrt{7}$

$= 5 \times 2 \times \sqrt{2} \times 4 \times \sqrt{7}$

$= \left(5 \times 2 \times 4\right) \times \sqrt{2} \times \sqrt{7}$

$= 40 \sqrt{14}$