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

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 :

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

CUBE ROOT OF RATIONAL NUMBER WORKSHEET

Answer Key

Answer Key

Answer Key

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