SOLUTION: Divide 88209 by the smallest number so that the quotient is a perfect cube. What is that number ? Also find the cube root of the quotient

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Question 1037874: Divide 88209 by the smallest number so that the quotient is a perfect cube. What is that number ? Also find the cube root of the quotient
Answer by ikleyn(52810) About Me  (Show Source):
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Divide 88209 by the smallest number so that the quotient is a perfect cube. What is that number ? Also find the cube root of the quotient
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88209 = 11%5E2%2A9%5E3.

Hence, your smallest number is 11%5E2,

the quotient is 88209%2F11%5E2 = 9%5E3

and the cube route of the quotient root%283%2C9%5E3%29 = 9.