# How do you simplify sqrt28+sqrt63?

Apr 23, 2018

5$\sqrt{7}$

#### Explanation:

$\sqrt{28}$ + $\sqrt{63}$

Simplify by finding common multipliers:

$\sqrt{7 \cdot 2 \cdot 2}$ + $\sqrt{7 \cdot 3 \cdot 3}$

Because it's a square root,2 of the same numbers can be taken from the root and put infront of the root

2$\sqrt{7}$ +3$\sqrt{7}$

Because the square roots are the same in each number, add the coefficients

5$\sqrt{7}$

Apr 23, 2018

$5 \sqrt{7}$

#### Explanation:

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

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

$\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2 \sqrt{7}$

$\sqrt{63} = \sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7} = 3 \sqrt{7}$

$\Rightarrow \sqrt{28} + \sqrt{63} = 2 \sqrt{7} + 3 \sqrt{7} - 5 \sqrt{7}$