Question

find the cube root of 6655 / 10985 by prime factorization method​

Answer 1

Answer:

11^3 / 13^3

Step-by-step explanation:

Given  

find the cube root of 6655 / 10985 by prime factorization method

ANSWER

So we need to find the cube root by prime factorization method.

Now factors of 6655 will be 5 x 11 x 11 x 11 = 5 x 11^3

So factors of 10985 will be 5 x 13 x 13 x 13 = 5 x 13^3

So cube root of 6655 / 10985 will be 5 x 11^3 / 5 x 13^3

                                                           = 11^3 / 13^3