1. 1-6 Radicals (Day 1) and Rational Exponents (Day 2)

2. What is a Radical?
In simplest term, the definition of the radical ( ) is this:
If a > 0 then where x > 0 and
= Principle Square Root
= The Positive root

3. Now extend to when : The Principle nth root of a:
If a > 0 then =x such that 2.
3. If a < 0 and n is odd then is a negative number such that
4. If a < 0 and n is even, is not real.

4. AUGH! What was all that?
That was the Mathlish for evaluating radical expressions where the index ≠ 2. Lets learn the vocabulary before we practice the problems.
Vocab Word
Radical Expression
Index or Root
Radicand
***If n is missing, then it is understood to be 2

5. Form of a Radical Problem
because
because
Notice this method!!

6. Rules of Radicals
So, the goal today will be to pull out perfect roots (perfect squares, cubes, etc). Prime factoring will often help.

7. Practice problems
Simplify each expression