Question

divide 88209 by the smallest number so that quotient is a perfect cube.Also find the cube root of the quotient so obtained.

Answer 1

Prime factorization of 88209 = 11^2 * 3^6

Smallest number = 11^2 = 121

The Quotient = 88209/121

                       = 729

Cube root of the Quotient 729 = 9.


Hope this helps!

Answer 2

Step-by-step explanation:

given number is 88209

after prime factorization is equal to 3*3*3*3*3*3*

11 * 11

since 11*11 is left after grouping in triplets to make it perfect cube 8820 /11 /11 = 729 which is a perfect cube

then the question is 729

and its cube root is 9

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