Question

Solve the following roots.

Answer 1

\[\sqrt{8}\]

Answer 2

\[\sqrt{12}\]

Answer 3

The question probably means -simplify the following roots.

The thing you want to look for in these problems, is -
Does my number have a FACTOR that is a perfect square?

Perfect squares are these numbers - 4, 9, 16, 25, 36 and so on...
because - 2^2=4, 3^2=9... and so on :D

So does 8 break down into any perfect squares?
Well the only one we can check for is the number 4, since all other perfect squares are too large.

Does 4 go into 8 evenly? :)

Answer 4

Yes.

Answer 5

So we can rewrite it like this\[\sqrt{8}=\sqrt{4*2}=\sqrt{4}\sqrt{2}=2\sqrt{2}\]
Make sense? :)
Try to do something similar with the 12.