Radicals Review
Simplifying Radicals - 2 Ways
#1: Make a factor tree and look for pairs.
#2: Find Multiples of perfect squares
Multiplying Radicals:
1. Outside times outside. Inside times inside.
2. Simplify Radical when possible.
3. Two of the same radicals cancel out to the inside number.
**Distribute and FOIL as usual**
Rationalizing Radicals: You are not allowed to leave a radical in the denominator of a fraction!!!!
1. Try to simplify the fraction. You can simplify outside to outside a
radical as well as inside a radical to inside another radical.
2. Multiply both the numerator and denominator by the radical that
you want to get rid of.
3. Simplify radicals and fraction if possible.
*Always be on the look out for perfect squares to pop up for a quick
solve*
Ex.
Rationalizing with a reciprocal: When you have a binomial in the denominator, multiply by that binomial but with the
opposite operation.