CUBE ROOT OF RATIONAL NUMBER WORKSHEET

Evaluate the following :

1)  ∛(1/125)

2)  ∛(-8/27)

3)  343/64

4)  -1  91/125

5)  ∛(1/64)

6)  3  3/8

7)  -216

8)  27/125

9)  ∛(343/1000)

10)  729/64

Solution

Answer Key

1)  1/5

2)  -2/3

3)  7/4

4)  -6/5

5)  1/4

6)  3/2

7)  -6

8)  3/5

9)  -7/10

10)  9/4

Evaluate each of the following :

1)  -27

2)  1/8

3)  27

4)  - ∛1/64

5)  ∛-8/27

6)  -1000

7)  ∛-27/64

8)  -∛-64

9)  ∛-1/125

Solution

Answer Key

1)  -3

2) 1/2

3)  3

4)  -1/4

5)  -2/3

6) -10

7) -3/4

8)  4

9)  -1/5

Problem 1 :

Find the value of following cube roots:

x = ∛(27 × 2744)

Solution

Problem 2 :

Evaluate

30.0270.008÷0.090.04-1

Solution

Problem 3 :

Two numbers 4x and 5x are such that sum of their cubes is 189. Find x.

Solution

Problem 4 :

The volume of a cube is 5832 m3, find the length of the side.

Solution

Problem 5 :

Three numbers are in the ratio  3 : 4 : 5. If the sum of their cubes -1728, find the three numbers.

Solution

Problem 6 :

Check whether 648 is a perfect cube or not.

Solution

Problem 7 :

Three numbers are to one another as 2:3:4. The sum of their cubes is 33957. Find the numbers.

Solution

Problem 8 :

Solution

Problem 9 :

If y = 5, then what is the value of 10y√(y3 - y2) ?

Solution

Problem 10 :

24851+169

Solution

Answer Key

1) x = 42

2)  0

3)  x=  1

4)  18 m

5) x = -2

6)  Not perfect cube

7)  14, 21, 28

8)  0.2

9)  500

10)  16

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