What is 2sqrt45 expressed in simplest radical form?

2 Answers
Apr 15, 2018

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

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.