How do you divide 12x3y1227xy2?

2 Answers
Mar 22, 2015

Take one big root to get:
enter image source here
and finally taking the square root:
=23xy5

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 3, x, and y2

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.

12x3y1227xy2=12x3y1227xy2=4x2y109=2xy53

Or:

12x3y1227xy2=43x2xy1293xy2=2xy63x3y3x=2xy53

(Rationalizing the denominator would work too, eventually.)