What is #2sqrt45# expressed in simplest radical form?

1 Answer
Oct 28, 2016

Answer:

#2 sqrt 45=6sqrt 5#

Explanation:

Simplify: #2 sqrt 45#

Determine the prime factorization of #sqrt 45#.

#sqrt 45=sqrt(5xx9)=sqrt 5sqrt9=sqrt 5xx3xx3#

#3# is the square root of #9# or #3xx3#.

Simplify.

#sqrt 45=3sqrt 5#

Multiply #2xx3sqrt5#

Simplify: #6sqrt 5#