# Rational and radical expressions

Please assist with the attached algebra.

1. Find the square roots of 4900

What is the principal square root of 4900?

2. Find the square root that is real number

3. Find each function value, if it exists.

f (t)=

f (o)=

4. Find the following. Assume that variables can represent any real number.

5. Simplify

6. Find the following

7. Find the following. Assume that a can represent any real number.

(Simplify the answer)

8. Rewrite without exponents.

9. Rewrite with rational exponents.

10. Simplify the expression

11. Use the laws of exponents to simplify

12. Rewrite using only positive rational exponents

(Simplify your answer)

13. Use rational exponents to simplify

14. Use rational exponents to simplify

15. Use rational exponents to write as a single radical expression.

16. Simplify by factorizing

give an exact answer, using radical as needed.

17. Simplify by factorizing

give an exact answer, using radical as needed

18. Multiply and simplify. Assume that all exponents under the radicals represent nonnegative numbers.

19. Multiply and simplify. Assume that all exponents under the radicals represent nonnegative numbers

simplify the answer, type in radical form

20. Multiply and simplify. Assume that all exponents under the radicals represent nonnegative numbers

give an exact answer, using radical as needed.

21. Multiply and simplify. Assume that all exponents under the radicals represent nonnegative numbers

simplify the answer, type in radical form.

22. Multiply and simplify by factorizing

Type an exact answer, using radical as needed.

23. Multiply and simplify by factorizing. Assume that all expression under the radicals represent nonnegative numbers.

simplify your answer. Type in radical form

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

#### Solution Preview

Solution is attached.

Also, check that questions 11 and 12 are correctly ...

#### Solution Summary

The solution provides examples of working with rational expressions and exponents, including simplifying, functions, and factoring.