Question

Find the smallest number by which 30375 must be divided so that quotient becomes a perfect cube. Also find the cube root of the quotient​

Answer 1

30375=3√3×3×3×3×3×5×5×5

As 3,3 are not tripled so,

3×3 = 9 will be the smallest number which must be divided by 30375 to mate it a perfect cube

When 30375 will be divided by 9 then it will be 3375 and 3375 is a perfect cube of 15.

Answer 2

Answer:

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