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

1 Answer
Aug 4, 2016

Answer:

#sqrt11(sqrt6-sqrt7) = sqrt66 - sqrt77#

Explanation:

use the distributive law to multiply #sqrt11# by each of the numbers in the bracket. When we multiply square roots we can combine them into one root.

#sqrt11(sqrt6-sqrt7) = sqrt66 - sqrt77#

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

They are irrational numbers.