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3. Find each function...

3. Find each function value f(t)=√t^2+1

4. √(a+7)^2 find the following assume that variables can represent y real number.

7. Find the following ^4√(9a)^4. Assume a can represent any real number. (^4 before the square root sign means that the 4 is over the square root sign and not in front of)

8. Rewrite without exponents x^1/3

9. Rewrite with rational exponents ^3√xy^2z (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

11. Use the laws of exponents to simplify. 9.1^5/4

---------------------

9.1^2/7

12. Rewrite using only positive rational exponents. X 7/2^2/3 (the x and the 2 are both in parenthesis).

Use rational exponents to simplify

13. ^3√x-^21 (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

14. √x^8y^4

15. Use rational exponents to write x^1/5*y^1/6*z^1/3

16. Simplify by factoring √675x^4

17. Simplify by factoring ^4√80 ( the power sign is in front of the 4 because it means that the 3 is on top of the square root sign and not in front of it).

Multiply and simplify. Assume that all expressions under the radicals represent nonnegative numbers. 18. √7x √35x

19. ^3√y^4 ^3√81y^5 (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

20. ^4√96x^12y^14 (the power sign is in front of the 4 because it means that the 3 is on top of the square root sign and not in front of it).

21. ^5√160x^17y^20

23. √5b^5 √10c^6

Divide then simplify by taking roots, if possible. Assume that all expression under radicals represent positive numbers.

24. √22a/√11a

25. ^3√80a^4b^8/^3√10a^2b (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

26. ^3√x^2/^7√x (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

27. Simplify by taking roots of the numerator and denominator. Assume that all expressions under radicals represent positive numbers. ^5√32x^7/y^15 (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

28. Add subtract, simplify by collecting like radical terms, if possible. ^9√3 ^-7√3 +^5√ (the power sign is in front of the 9and the 5 because it means that the 3 is on top of the square root sign and not in front of it).

30. Add simplify by collecting like radical terms assuming that all expression under radicals represent nonnegative numbers. √5a +^4√45a^3 (the power sign is in front of the 4 because it means that the 4 is on top of the square root sign and not in front of it).

Multiply

31. √5(7-5√5)

32. ^3√a (^3√5a^ ^3√625a^2) ( the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

34. (^5√4 -65√2) (^5√125 +^5√8 ( the power sign is in front of 5 because it means that the 3 is on top of the square root sign and not in front of it).

35. Rationalize the denominator 21√5/5√7

36. Rationalize the denominator assuming that all expressions under radicals represent positive numbers. ^3√3y^4/^3√15x^4

Rationalize the denominator

37. 4-√a/3+√a

38. √c-√d/√c+√d

4. √(a+7)^2 find the following assume that variables can represent y real number.

7. Find the following ^4√(9a)^4. Assume a can represent any real number. (^4 before the square root sign means that the 4 is over the square root sign and not in front of)

8. Rewrite without exponents x^1/3

9. Rewrite with rational exponents ^3√xy^2z (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

11. Use the laws of exponents to simplify. 9.1^5/4

---------------------

9.1^2/7

12. Rewrite using only positive rational exponents. X 7/2^2/3 (the x and the 2 are both in parenthesis).

Use rational exponents to simplify

13. ^3√x-^21 (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

14. √x^8y^4

15. Use rational exponents to write x^1/5*y^1/6*z^1/3

16. Simplify by factoring √675x^4

17. Simplify by factoring ^4√80 ( the power sign is in front of the 4 because it means that the 3 is on top of the square root sign and not in front of it).

Multiply and simplify. Assume that all expressions under the radicals represent nonnegative numbers. 18. √7x √35x

19. ^3√y^4 ^3√81y^5 (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

20. ^4√96x^12y^14 (the power sign is in front of the 4 because it means that the 3 is on top of the square root sign and not in front of it).

21. ^5√160x^17y^20

23. √5b^5 √10c^6

Divide then simplify by taking roots, if possible. Assume that all expression under radicals represent positive numbers.

24. √22a/√11a

25. ^3√80a^4b^8/^3√10a^2b (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

26. ^3√x^2/^7√x (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

27. Simplify by taking roots of the numerator and denominator. Assume that all expressions under radicals represent positive numbers. ^5√32x^7/y^15 (the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

28. Add subtract, simplify by collecting like radical terms, if possible. ^9√3 ^-7√3 +^5√ (the power sign is in front of the 9and the 5 because it means that the 3 is on top of the square root sign and not in front of it).

30. Add simplify by collecting like radical terms assuming that all expression under radicals represent nonnegative numbers. √5a +^4√45a^3 (the power sign is in front of the 4 because it means that the 4 is on top of the square root sign and not in front of it).

Multiply

31. √5(7-5√5)

32. ^3√a (^3√5a^ ^3√625a^2) ( the power sign is in front of the 3 because it means that the 3 is on top of the square root sign and not in front of it).

34. (^5√4 -65√2) (^5√125 +^5√8 ( the power sign is in front of 5 because it means that the 3 is on top of the square root sign and not in front of it).

35. Rationalize the denominator 21√5/5√7

36. Rationalize the denominator assuming that all expressions under radicals represent positive numbers. ^3√3y^4/^3√15x^4

Rationalize the denominator

37. 4-√a/3+√a

38. √c-√d/√c+√d

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