# How do you simplify sqrt63+sqrt175+sqrt112?

Nov 21, 2016

With difficulty......$12 \sqrt{7}$

#### Explanation:

As with fractions, we factorize the individual expressions and look for common terms.

$\sqrt{63} + \sqrt{175} + \sqrt{112}$ $=$

$\sqrt{7 \times 9} + \sqrt{7 \times 25} + \sqrt{16 \times 7}$.

So, I think you see where this is going.

$= 3 \sqrt{7} + 5 \sqrt{7} + 4 \sqrt{7} = 12 \sqrt{7}$