Something to know when simplifying square roots:
[tex]\sqrt{ab} = \sqrt{a} * \sqrt{b}[/tex]
Knowing this, we can choose two factors where one of the factors is a perfect square.
Examples:
[tex]\sqrt{12} = \sqrt{4} * \sqrt{3} = 2\sqrt{3}[/tex]
Notice in this example if we used the factors 2 and 6 we wouldn't be able to simplify the square root.
[tex]\sqrt{32} = \sqrt{16} * \sqrt{2} = 4\sqrt{2}[/tex]
We could have also used the factors 4 and 8 because 4 is a perfect square.
