1. nth Root & Rational Exponents
3.1
nth Root & Rational Exponents

2. Radicals Dude!
Index
Square Root
Cube root
Radicand
4th Root
nth Root

3. What does it mean Dude?
Square Root
Cube root
4th Root

4. So….

5. Writing expressions with nth Roots vs. Rational Exponents
Radical Expression
Exponential Expression

6. So What do You Think About...
Radical Expression
Exponential Expression

7. In Summary

8. Cube root
Same as
Can x be negative?
When?
When Index is Odd!

9. Number of Solutions to Consider
Odd Index
Only 1 real root
Even Index
2 real roots

10. Negative Exponents
Try one!

11. Try One!

12. Approximately Dude! Evaluate the expression using a calculator.
Round the results to the 100ths when appropriate.

13. Solve the equation.
Round to the 100ths.

14. The volume of a beach ball can be approximated using the model where r is the radius of the ball in inches. Estimate the radius of the ball if the volume is 268 cubic inches.

15. Your Turn Dude!
HOMEWORK:
Page 112 #1–35 odd,