# How do you divide #sqrt(12x^3y^12)/sqrt(27xy^2)#?

##### 2 Answers

Mar 22, 2015

Take one big root to get:

and finally taking the square root:

Hope it helps!

Mar 22, 2015

There are several good approaches to this question:

The reason I try this is that I see some common factors. Namely

Write it as a single square root, then simplify, the break it up into smaller square roots.

Or simplify both numerator and denominator, then simplify what you can.

Or:

(Rationalizing the denominator would work too, eventually.)