Question

Can someone explain: Simplify 2 times the square root of 108 over the square root of 180y???

Answer 1

Looks like this?
\[\frac{2\sqrt{108}}{\sqrt{180y}}\]

Answer 2

Yep!

Answer 3

Okay. Basically, the problem is asking you to 1) remove all the square roots from the denominator and 2) make sure there are no perfect squares in the radical.

Answer 4

The first thing you're going to do is multiply the top and bottom by 1, but in sneaky way. Remember that anything divided by itself is 1, so
\[1=\frac{\sqrt{180y}}{\sqrt{180y}}\]
Correct?

Answer 5

Correct! :)