# How do you simplify 3sqrt7-2sqrt28?

Jul 11, 2016

$5 \sqrt{7}$

#### Explanation:

7 is a prime number so obviously there is no rational answer for $\sqrt{7}$

Write 28 as the product of its prime factors to see what it is made of.

$3 \sqrt{7} + \sqrt{2 \times 2 \times 7}$

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

=$5 \sqrt{7} \text{ there are like terms}$