Question

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

Answer 1

`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!

Answer 2

`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`.