Question 337853
8√27 - 3√3 =


The √27 can be broken down to be √9 * √3 where √9 is a perfect square.

8√9*√3 - 3√3 =

The goal is to get the same radicand for both radicals.  As you can see, we have the same radicand 3.  So, we now proceed to subtract not forgeting that the square root of 9 is 3.

8*3*√3 - 3√3 =

24√3 - 3√3 = 21√3

Answer: 21√3