1. 5.5 Roots of Real Numbers Squares Roots Nth Roots Principal Roots

2. Square Roots Since 4 2 = 16, then but (-4) 2 = 16. So the square root of 16 is 4 and -4? The Principal root is 4. The Principal root are always positive.

3. Cube roots 5 3 = 125, so Here are the parts of a root Square roots have index 2, which is not shown

4. N th root There are more roots then square or cubes.

5. How do I know if the answer is positive or negative For example: In case of numbers we take the principle root “5” When solve an equation x 2 = 25, you take the square root of both sides. Since Square roots are even “2”, the answer is 5 and -5

6. Even roots the answer have to come out positive Even roots Odd roots

7. Other Roots Some we will work with later in this class.

8. The ± symbol ± means positive and negative So Since x 2 is positive, it does not have to be in an absolute value

9. Simplify

18. How do you use your Calculator to find the values It depends on your calculator, normal it is function you can find with your shift button. We will have to find it on your calculator. Find the approximate value of

19. How do you use your Calculator to find the values It depends on your calculator, normal it is function you can find with your shift button. We will have to find it on your calculator. Find the approximate value of

20. Homework Page 248 – 249 #17 – 55 odd, 63

21. Homework Page 248 #16 – 58 even