# Question #17f15

Mar 12, 2017

$= 4 \sqrt{3} + 4 \sqrt{2}$

#### Explanation:

Write each of the numbers under the roots as the product of factors, using squares if possible:

$2 \left(\sqrt{12} + \sqrt{8}\right)$

$= 2 \left(\sqrt{4 \times 3} + \sqrt{4 \times 2}\right) \text{ } \leftarrow$ find the roots if possible:

$= 2 \left(2 \sqrt{3} + 2 \sqrt{2}\right) \text{ } \leftarrow$ multiply out the bracket

$= 4 \sqrt{3} + 4 \sqrt{2}$