# What is the sum of the square root of 72 + square root of 50?

May 1, 2018

$11 \sqrt{2}$

#### Explanation:

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

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

$\text{simplifying each radical}$

$\sqrt{72} = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} = 6 \sqrt{2}$

$\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5 \sqrt{2}$

$\Rightarrow \sqrt{72} + \sqrt{50} = 6 \sqrt{2} + 5 \sqrt{2} = 11 \sqrt{2}$