Find the smallest number by which 675 must be multiplied to obtain a perfect cube.
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Step-by-step explanation:
Grouping the prime factors of 675 to triples, we are left over with 5 × 5. ∴ 675 is not a perfect cube. Now, 3375 is a perfect cube. Thus, the smallest required number to multiply 675 such that the new number perfect cube is 5.
Answered by
1
Answer:
Grouping the prime factors of 675 to triples, we are left over with 5 × 5. ∴ 675 is not a perfect cube. Now, 3375 is a perfect cube. Thus, the smallest required number to multiply 675 such that the new number perfect cube is 5.
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