Let’s do this by examples

 

Find cube root of 216?

Let’s do prime factorization of 216

31.jpg

Thus,

  216  = 2 × 2 × 2 × 3 × 3 × 3

 

Now,

We make groups of 3

32.jpg

Therefore,

Cube root of 216 = 2 × 3

            = 6

 

Find cube root of 729?

Doing Prime factorization of 729

33.jpg

We see that

34.jpg

Therefore,

Cube root of 729 = 3 × 3

     = 9

 

Find cube root of 3375?

Doing Prime factorization of 3375

35.jpg

We see that

36.jpg

Therefore,

Cube root of 3375 = 3 × 5

       = 15

 

Find cube root of 6859?

Doing Prime factorization of 6859

37.jpg

We see that

38.jpg

Therefore,

Cube root of 6859 = 19

 

Find cube root of 10648?

Doing Prime factorization of 10648

39.jpg

We see that

40.jpg

Therefore,

Cube root of 10648 = 2 × 11

                = 22

 

Find cube root of 74088?

Doing Prime factorization of 74088

41.jpg

We see that

42.jpg

Therefore,

Cube root of 74088 = 2 × 3 × 7

                = 74088

 

  1. Chapter 7 Class 8 Cubes and Cube Roots
  2. Concept wise

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.