# Solutions to Problem Set 22

Math 101-06

11-3-2017

1. Find the exact value of .

2. Find the exact value of .

is undefined.

3. Find the exact value of .

4. Find the exact value of .

5. Find the exact value of .

6. Find the exact value of .

7. Simplify .

8. Simplify .

9. Multiply out and simplify: .

10. Multiply out and simplify: .

11. Multiply out and simplify: .

12. Multiply out and simplify: .

13. Simplify the expression by rationalizing: .

14. Simplify the expression by rationalizing: .

Here's the work for multiplying out the top:

[Fractional powers]

15. Find the exact value of .

16. Find the exact value of .

17. Find the exact value of .

18. Find the exact value of .

An even root of a negative number is undefined:

19. Find the exact value of .

In this case, you compute first, then negate it. So

Then

20. Find the exact value of .

21. Find the exact value of .

22. Find the exact value of .

Adversity makes no impression upon a brave soul. - Ali Ibn Abi Talib

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