Find the cube root of 46656 by the prime factorization method.

Answer: 3√46656 = 36

By prime factorization method, we get

46656 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

Taking the cube root on both the side, we get

3√46656 = 3√2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

3√46656 = 2 × 2 × 3 × 3

3√46656 = 36

Leave a Comment

Your email address will not be published.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

BOOK

Free Class