Find the smallest number by which 17496 must be multiplied so that the quotient is a perfect cube
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Answer:
3
Step-by-step explanation:
Thus, the smallest required number to multiply 243 to make it a perfect cube is 3. Grouping the prime factors of 256 in triples, we are left over with 2 × 2. Grouping the prime factors of 72 in triples, we are left over with 3 × 3. ∴ The smallest number required to multiply 72 to make it a perfect cube is 3.
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Step-by-step explanation:
Find the smallest number by which 17496 must be multiplied so that the quotient is a perfect cube
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