Square Roots and Cube Roots Worksheet-7

Square Roots and Cube Roots Worksheet-7

1. simplifies to:

(a)          (b) 2                   (c)           (d)

2. If , the value of is:

(a) 1.5858           (b) 3.4852         (c) 3.5858         (d) 4.4142

(a)        (b)       (c)               (d) 1

4. is equal to:

(a) 1                     (b) 2                   (c)         (d)

5. If , then:

(a) a = –11, b = –6                       (b) a = –11, b = 6

(c) a = 11, b = –6                          (d) a = 6, b = 11

6. If , the square root of is nearest to:

(a) 0.172            (b) 0.414           (c) 0.586            (d) 1.414

(a) 3                    (b)              (c) 6                    (d) None of these

8. simplifies to:

(a)          (b)           (c)           (d)

9. If x = (7 – 4), then the value of is:

(a)               (b)              (c) 14                  (d)

10. If and then the value of (x² + y²) is:

(a) 10                  (b) 13                  (c) 14                  (d) 15

11. and the value of is:

(a)                   (b)                   (c)                    (d)

12. A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apples trees in each row. The number of rows is:

(a) 124                (b) 126                (c) 134                (d) 144

13. A General wishes to draw up his 36581 soldiers in the form of a solid square. After arranging them, he found that some of them are left over. How many are left?

(a) 65                  (b) 81                  (c) 100                (d) None of these

14. A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to Rs. 59.29, the number of members in the group is:

(a) 57                  (b) 67                  (c) 77                  (d) 87

15. The cube root of .000216 is:

(a) .6                   (b) .06                (c) .006              (d) None of these

(a)                  (b)                  (c)                  (d)

(a) .02                (b) .2                   (c) 2                    (d) None of these

18. The largest four–digit number which is a perfect cube, is:

(a) 8000            (b) 9261             (c) 9999             (d) None of these

19. By what least number 675 be multiplied to obtain a number which is a perfect cube?

(a) 5                    (b) 6                    (c) 7                    (d) 8

20. What is the smallest number by which 3600 be divided to make it a perfect cube?

(a) 9                    (b) 50                 (c) 300               (d) 450

Answer Key:

(1)-b; (2)-a; (3)-c; (4)-d; (5)-c; (6)-b; (7)-d; (8)-a; (9)-c; (10)-c; (11)-b; (12)-a; (13)-c; (14)-c; (15)-b; (16)-b; (17)-b; (18)-b; (19)-a; (20)-d