Math, asked by aayishamendi, 4 months ago

find the smallest number by which 675 must be multiplied to obtain a perfect cube.

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Answered by sarahaquil2109

Answer:

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.

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find the smallest number by which 675 must be multiplied to obtain a perfect cube.​

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find the smallest number by which 675 must be multiplied to obtain a perfect cube.