How do you simplify #1/3 sqrt 54#?

1 Answer
Oct 2, 2016

Answer:

#=sqrt6#

Explanation:

#54# is not a square number, but before you reach fora calculator, find its prime factors first.

#1/3sqrt54 = 1/3sqrt(2xx3xx3xx3) = 1/3sqrt(2xx3xx(3xx3))#

There is a square in the factors, so we can simplify something!

#=1/3 xx3sqrt6#

#=sqrt6#