Question

find the smallest number by which 17496 must be divided ,so that the quotient is a perfect cube.also find the cube root of the quotient

Answer 1

if we divide 17496 by 24 =>729 is obtained which is a perfect cube .Quotient is 729 . The cube root of the Quotient =
${729}^{0.333333}$
which is equal to 9.