# How do you simplify sqrt11 (sqrt6 - sqrt7)?

Aug 4, 2016

$\sqrt{11} \left(\sqrt{6} - \sqrt{7}\right) = \sqrt{66} - \sqrt{77}$

#### Explanation:

use the distributive law to multiply $\sqrt{11}$ by each of the numbers in the bracket. When we multiply square roots we can combine them into one root.

$\sqrt{11} \left(\sqrt{6} - \sqrt{7}\right) = \sqrt{66} - \sqrt{77}$

This cannot be simplified further without using a calculator to find the actual values.

They are irrational numbers.