Find the cube root of 3375 by prime factorization.

Answer:

By prime factorisation method, we get

3375 = 5 × 5 × 5 × 3 × 3 × 3

3375 = 53 × 33

Taking the cube root on both the side, we get

3√3375 =3√5 × 5 × 5 × 3 × 3 × 3

3√3375 = 5 × 3
3√3375 = 15
∴ Cube root of 3375 is 15.

Leave a Comment

Your email address will not be published. Required fields are marked *

BOOK

Free Class