1. ROOTS & RADICALS

2. Definition:
The nth root of a number a:
means

3. Properties of Roots:

4. EXAMPLES:

5. EXAMPLES:

6. EXAMPLES:

7. EXAMPLES:

8. RATIONALIZING THE DENOMINATOR:
You cannot have an irrational number in the denominator, so if a root appears in the denominator, we must “rearrange” the fraction.
EXAMPLE:

9. RATIONALIZING THE DENOMINATOR:
YOU TRY:

10. RATIONALIZING THE DENOMINATOR:
When rationalizing a denominator that has a + or -, we need to use the “conjugate.”

11. RATIONALIZING THE DENOMINATOR:
YOU TRY:

12. HOMEWORK:
p. 536 #1-27odd