# How do you simplify  5sqrt27-sqrt28+sqrt63-sqrt12?

Sep 15, 2016

$5 \sqrt{27} - \sqrt{28} + \sqrt{63} - \sqrt{12} = 13 \sqrt{3} + \sqrt{7}$

#### Explanation:

$5 \sqrt{27} - \sqrt{28} + \sqrt{63} - \sqrt{12} =$

$5 \sqrt{3} \times \sqrt{9} - \sqrt{4} \times \sqrt{7} + \sqrt{9} \times \sqrt{7} - \sqrt{4} \times \sqrt{3} =$

$15 \sqrt{3} - 2 \sqrt{7} + 3 \sqrt{7} - 2 \sqrt{3} =$

$13 \sqrt{3} + \sqrt{7}$

All I have done is to split up the square roots into products, and grouped the common square root factors; but please don't trust my arithmetic.