# Radicals (25 Problems)

Please see the attached file for the fully formatted problems.

MAT 107 Week 6 Chapter 9 Cumulative Test

1. Determine whether is rational or irrational or both or none of the choices.

A) Irrational B) Rational C) Both A and B D) None of the choices

2. Simplify. Assume all variables represent positive numbers.

A) B) C) D)

3. Simplify.

A) B) Cannot be simplified C) D)

4. Simplify.

A) B) C) D)

5. Find the length x. Express your answer in simplified radical form.

A) 10 ft B) 18 ft C) 68 ft D) 24 ft

6. Determine whether is rational or irrational or both or none of the choices.

A) Irrational B) Rational C) Both A and B D) None of the choices

7. Simplify.

A) B) C) Cannot be simplified D)

8. Determine whether 4 is rational or irrational or both or none of the choices.

A) Irrational B) Rational C) Both A and B D) None of the choices

9. Determine whether is rational or irrational or both or none of the choices.

A) Irrational B) Rational C) Both A and B D) None of the choices

10. Find the distance between (4, 0) and (-9, 0).

A) 9 B) C) 5 D) 13

11. Determine whether is rational or irrational or both or none of the choices

A) Irrational B) Rational C) Both A and B D) None of the choices

12. Simplify.

A) B) 54 C) D)

13. Use a calculator to approximate to the nearest hundredth.

A) 0.81 B) 0.73 C) 0.85 D) 0.77

14. Simplify.

A) B) C) D)

15. Evaluate , if possible.

A) Not a real number B) 2 C) 8 D) 4

16. Simplify.

A) B) C) D)

17. Simplify.

A) B) 3 C) D)

18. Simplify.

A) Cannot be simplified B) C) D)

19. Find the length x. Express your answer in simplified radical form.

A) 13 cm B) 15 cm C) 24 cm D) 25 cm

20. Simplify.

A) B) C) D)

21. Find the altitude of the triangle.

A) 19 B) 31 C) 22 D) 12

22. Simplify.

A) 22 B) 31 C) 41 D) 57

23. Evaluate , if possible.

A) -$n or -n B) -2$n or -2n C) 2$n or -2n D) -3$n or -3n

24. Simplify.

A) B) C) D)

25. Simplify.

A) B) 16 C) D)

Please see the attached file for the fully formatted problems.

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