How do you simplify 15/sqrt6?

1 Answer
May 28, 2015

Answer: 15/sqrt6 simplified is (5sqrt 6)/2

Problem: Simplify 15/sqrt6 .

Multiply the numerator and denominator by sqrt 6 .

15/sqrt 6*sqrt 6/sqrt 6 =

(15 sqrt 6)/6

Factor out the GCF 3.

((cancel 15^5/cancel 3^1)sqrt6)/((cancel 6^2)/(cancel 3^1)) =

(5sqrt 6)/2