How do you simplify #25 /sqrt(15)#?

1 Answer
Aug 19, 2017

Answer:

#(5sqrt15)/3#

Explanation:

#"to simplify we require the denominator to be rational"#
#"that is remove the radical"#

#• " note that "sqrtaxxsqrta=a#

#"multiply the numerator/denominator by "sqrt15#

#rArr25/sqrt15xxsqrt15/sqrt15#

#=(25sqrt15)/15#

#=(cancel(25)^5sqrt15)/cancel(15)^3=(5sqrt15)/3#