# How do you simplify 9sqrt13-6sqrt11+sqrt13?

Apr 30, 2017

#### Answer:

$10 \sqrt{13} - 6 \sqrt{11}$

#### Explanation:

Note that both 11 and 13 are prime numbers. So the roots can not be simplified any further

Set $\sqrt{13} = a$

Set $\sqrt{11} = b$

Then we have the same situation as

$9 a - 6 b + a$

$10 a - 6 b$

$10 \sqrt{13} - 6 \sqrt{11}$