Is 675 a protect cube? If not, find the smallest natural number by which 675 must
be multiplied so that the product is a perfect cube. Also find the cube root of the
perfect cube so obtained.
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Answered by
5
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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Answered by
0
perfect cube as 5
Answer = 5
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