# How do you simplify #sqrt45 + 2sqrt5# without a calculator?

##### 1 Answer

Can

Start at the beginning:

So

That means we can rewrite:

Now, if I have 3 of these things and I add 2 of the same thing, I obviously get 5 of the things. What things? Well, in **this** case the things are

When you do it all at once, it looks like this:

In many (most?) algebra classes, this is what we mean by "simplify".

If you also want to learn how to get an approximation for