CUBE ROOTS WORKSHEET

1. Find the cube root of 8.

2. Find the cube root of 27.

3. Find the cube root of 512.

4. Find the cube root of (27 x 64).

5. Find the cube root of 1000.

6. Find the cube root of (8/125).

7. Find the cube root of 0.008.

8. Find the cube root of 0.027.

9. Find the cube root of 0.343.

10. Find the cube root of -125.

1. Answer :

3√8 = 3√(2 x 2 x 2)

= 2

2. Answer :

3√27 = 3√(3 x 3 x 3)

= 3

3. Answer :

3512 = 3√(2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2)

3√[(2 x 2 x 2)(2 x 2 x 2)(2 x 2 x 2)]

= 2 x 2 x 2

= 8

4. Answer :

3(27 x 64) = 3√[(3 x 3 x 3)(2 x 2 x 2 x 2 x 2 x 2)]

= 3√[(3 x 3 x 3)(2 x 2 x 2)(2 x 2 x 2)]

= 3√[(3 x 3 x 3)(2 x 2 x 2)(2 x 2 x 2)]

= 3 x 2 x 2

= 12

5. Answer :

3√1000 = 3√(2 x 2 x 2 x 5 x 5 x 5)

=3√[(2 x 2 x 2)(5 x 5 x 5)]

= 2 x 5

= 10

6. Answer :

3(8/125) = 3√8/3√125

=3√(2 x 2 x 2)/3√(5 x 5 x 5)

= 2/5

7. Answer :

3√0.008 = 3√(8/1000)

=3√8/3√1000

= 2/10

= 0.2

8. Answer :

3√0.027 = 3√(27/1000)

=3√27/3√1000

= 3/10

= 0.3

9. Answer :

3√0.343 = 3√(343/1000)

=3√343/3√1000

= 7/10

= 0.7

10. Answer :

3√-125 = 3√(-5 x -5 x -5)

= -5

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