How do you simplify #15/sqrt3#?

1 Answer
Mar 13, 2016

Answer:

#5sqrt3#

Explanation:

We want to rationalize the denominator, or eliminate the square root from the denominator.

To do this, multiply the fraction by #sqrt3/sqrt3#.

#=15/sqrt3 * sqrt3/sqrt3#

In the denominator, we see that #sqrt3 * sqrt3=3#.

#=(15sqrt3)/3#

Now, recognize the fraction can be simplified since #15/3=5#.

#=5sqrt3#