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

2 Answers
Apr 15, 2018

Answer:

#6sqrt5#

Explanation:

This expression will be in simplest form when we cannot factor out any perfect squares from the radical.

We can rewrite #2color(blue)(sqrt45)# as:

#2*color(blue)(sqrt9*sqrt5)#

Which can be simplified to

#2*color(blue)(3sqrt5)#

Further being simplified to

#6sqrt5#

There are no perfect squares in #5# that we can factor out, thus this is our final answer.

Hope this helps!

Apr 15, 2018

Answer:

#6sqrt5#

Explanation:

You should try to find factors of #45# that are perfect squares(#4, 9, 16, 25...)#. #45=9*5#, so #2sqrt45# is the same as #2*sqrt(9*5)#. The #sqrt9=3#, so a #3# can be removed. leaving #2*3sqrt5#, or #6sqrt5#.