# How do you simplify 2sqrt28-5sqrt63?

Dec 30, 2016

$- 11 \sqrt{7}$

#### Explanation:

first factorize $\sqrt{28}$, we get $\sqrt{2.2 .7} = 2 \sqrt{7}$

Next factorize $\sqrt{63} = \sqrt{3.3 .7} = 3 \sqrt{7}$

Now the whole expression = $2.2 \sqrt{7} - 5.3 \sqrt{7}$

$\Rightarrow \sqrt{7} \left[4 - 15\right]$

$\Rightarrow - 11 \sqrt{7}$