# What is 9 square root of 40 simplified?

Mar 30, 2018

$18 \sqrt{10}$

#### Explanation:

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

•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)

$\Rightarrow 9 \times \sqrt{40}$

$= 9 \times \sqrt{4 \times 10}$

$= 9 \times \sqrt{4} \times \sqrt{10}$

$= 9 \times 2 \times \sqrt{10} = 18 \sqrt{10}$