How do you simplify #(6 sqrt 5) div (5 sqrt 3)#?
1 Answer
Mar 5, 2016
Explanation:
To simplify
#=(6sqrt5)/(5sqrt3)#
We should "rationalize" the denominator. This means, try to get the
We can do this by multiplying the fraction by
#=(6sqrt5)/(5sqrt3)(sqrt3/sqrt3)#
In the numerator, we use the rule that
In the denominator, we see that
#=(6sqrt15)/(5*3)#
Simplify the fraction:
#=(2sqrt15)/5#