Question

Find the cube roots of the following cubes by prime factorisation: 1) 13824 2) 17576 3) 21952​

Answer 1

Step-by-step explanation:

1,24

2,26

3,28

Given: 21952.

To find: find the cube root of the given number by prime factorization method.

Solution: First find the prime factors of 21952. prime factors of 21952 = 2x2x2x2x2x2x7x7x7. => make three groups of same numbers. => (2x2x2) x (2x2x2) x (7x7x7) => 2 x 2 x 7. => 28.