the square route

What we need to do to simpify these is to "break down" theses square roots into smaller square roots so that we can simplify one of them.

So, here's how we'd go about doing this:

$$\sqrt{8}$$

$$\sqrt{4}\times\sqrt{2}\\$$

Now we can simplify the square root of 4 to 2, because 2 times 2 is 4.

$$2\times\sqrt{2}$$

And then just write the answer like so:

$$2\sqrt{2}$$

 

I'll do another one too and then let you do the rest.

$$\sqrt{45}$$

$$\sqrt{9}\times\sqrt{5}$$

$$3\times \sqrt{5}$$

$$3\sqrt{5}$$

 

And there you have it!