# How do you add sqrt12+sqrt75?

##### 1 Answer
Oct 6, 2015

If you take the number apart (factorize) you'll see that:
$12 = 2 \cdot 2 \cdot 3 \mathmr{and} 75 = 3 \cdot 5 \cdot 5$

#### Explanation:

You can take the 'doubles' (squares) out from under the root, where they become single:

$\sqrt{12} = \sqrt{2 \cdot 2 \cdot 3} = \sqrt{{2}^{2}} \cdot \sqrt{3} = 2 \sqrt{3}$

$\sqrt{75} = \sqrt{5 \cdot 5 \cdot 3} = \sqrt{{5}^{2}} \cdot \sqrt{3} = 5 \sqrt{3}$

Adding these will give you $7 \sqrt{3}$ as the final answer.