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Algebra/Algebra - Roots and Radicals

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Question
1.

 12√ 40


A. 24√ 10
B. 2√ 10
C. 24√ 40
D. 2√ 40


2. Simplify:

√ 225
------
√ 400


  25
A.
  20
 
  15
B.
  40

  15
C.-
  20
 
  3
D.-
  4


3. Simplify:

-8√ 900


A. -8√ 30
B. 240√ 30
C. -240√ 30
D. -240

4. Simplify:

√ 64


A. 32  B. 8
C. -8  D. 16

5. Simplify:

√ -64


A. -8        B. 32
C. Not Real  D. 8

6. Simplify:

3√ 64


A. 21        B. 4
C. Not real  D. 8

7. Simplify:

√ -144


A. 72        B. 12
C. Not real  D. -12

8. Simplify:

-√ 144


A. 72   B. Not real
C. -12  D. 12

9. Simplify:

√ 0.04


A. 0.02  B. 20
C. 2     D. 0.2

10. Simplify:

√ 0.0004


A. 0.02   B. 0.0002
C. 0.002  C. Not real

11. Simplify:

√ (5)2


A. 10   B. 5
C. √ 10 D. 25

12. Simplify

3  √ (-5)3


A. -5     B. Not real
C. -125   D. 5

13. Simplify:

√ 81 √ 16   


A. 40.5   C. 2.25
C. √ 5.06 D. 1.18

14. Simplify:

4 √ 1/16


  1
A.
  4
  
  1
B.
  2

  1
C.
  16

  1
D.
  8



15. Simplify:

3  √ (10)-6


A. 10-3  B. 0.001
C. 0.0001  D. 0.01

16. Simplify:

3  √ (10-30)


A. 10-27  B. 1010
C. No solution  
D.   1
   1010


17. Find the real roots of the equation:

y2 - 7 = 0


A. y = 3.5  
B. √ 7
C. y = 0  
D. √ 7


18. Simplify:

√ 5/2 + √ 2/5  


A. 1
B. 7
C. -1  
D. 7√ 10
    10


19. Simplify:

√ 3 ( √ 12 -  √ 24  )


A. 6  
B. 6 - 6√ 2
C. √ 2
D. -6√ 2


20. Simplify:


3√ 5 ( √ 5 + 2  √ 75 )


A. 15√ 5
B. 120
C. 15  + 30√ 15  
D. 30√ 15


21. Simplify:


2√ (144 7x)


A. 2x√12    B. 24√7x
C. 36√112x  D. 24√14x

22.
√  40 - 2√ 5 / √10


 A. 2 - √ 2
 B. 2√ 7
 C. √ 20 - 2
 D. √ 2 - 2


23. Simplify:

1
6 + √  3


A. 2 / 11   
B. 6 - √  3 / 33
C. √ 3 / 9  
D. 1 / 9


24. Simplify:

(5 - √ 2 )(3 - 2√ 2 )


A. 19 - 13√ 2   
B. 19 - 7√ 2
C. 11 - 13√ 2
D. 29 - 13√ 2


25. Simplify:


A. 1  
B. (2  √ 3   -   3√ 2 )
C. (6  √ 2   -     √ 3 )
D. (3  √ 2   -   2√ 3 )


26. Simplify:

2√ 7   + 12√ 7  - 1


A. 13          B. 9
C. 14√ 7 - 1   D. 14√ 7


27. Simplify:


3√ 2w-5 = 1


A. w = 7  B. w = 16
C. w = 3  D. w = -5

28. Solve:

5 +√(a + 7) = a


A. a = -9  B. a = 2
C. a = 9      D. a = -2

29. Solve:

√ 3a - 2 - √ 2a - 3 = 1


A. a = 4 or a = 3  B. a = -2 or a = -6
C. a = 2 or a = 6  D. a = -4 or a = -3

30. Solve:


√ (n + 6) - √ n = √ 6


A. n = 3        B. n = 0
C. No solution  D. n = -1



31. Simplify

1 3√ 64



34. Simplify:

(√7 - √2)2



35. Solve for x:

√2x + 5 - 1 = x

Answer
1. A 2. C 3. D 4. B 5. C 6. 24 7. C 8. C 9. D 10. A 11. C 12. B 13. C 14. 1 15. A 16. C
17. B 18. D 19. B 20. C 21. B 22. 2(10^1/2)-2^1/2 23. not clear 24. A, 25. simplify what?
26. C 27. not clear 28. C 29. C 30. B 31. 1/24 34. do you mean to square it?  35. not clear

Algebra

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