Question

Question #64872

Answer 1

Simplification of radical expressions is easy! Generally, you want to find two numbers, one being a perfect square (4, 9, 16, 25 etc) and the other being any number, that multiply to give you the root your're looking to simplify!

Explanation:

In your example, you're looking to simplify `2sqrt(45)`.

First, find two numbers (one being a perfect square) that multiply to give you `sqrt(45)`.

Options are:

1 and 45
3 and 15
5 and 9

Here, it looks like 9 and 5 are going to work, since one of them is a perfect square!

Knowing this we can say, by the properties of radicals:

`2*sqrt(9)*sqrt(5)`

Notice the `sqrt(9)`? You can simplify that to 3!

`2*3*sqrt(5)`

Multiply the 2 and 3 together and you get:

`6sqrt(5)`

That's it! Just follow the same steps as I have for any radical problems and you'll be good with any problem that comes your way! Hopefully I helped you out! :)