Math Review

This week in math I reviewed how to simplify an entire radical into a mixed radical.

First we need to know the difference between a mixed and an entire radical.  An entire radical only has a radicand and a mixed radical has a radicand and a coefficient.  As seen below:

To change an entire radical into a mixed one we need to know how to factor.  When factor we take out all the multiples of 2 and once you exterminate multiples of 2 than you move onto three and so on. Here are two examples below:

Finally, if it is a square root you are looking for the pairs that make perfect squares and bringing them outside of the radicand as the coefficient. The number or numbers left over become the radicand.  If there is more than one number left over you simply multiple them together to create that radicand.

Now you have a mixed radical.