find the smallest number by which 47916 must be divided so that the quotient is a perfect cube
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Answer:
36
Step-by-step explanation:
47916 factorises into 2^2*3^2*11^3, so the only cube is 11^3=1331. The other factors multiplied together make 36, so 36 is the smallest divisor to yield a perfect cube in the quotient.
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