Question

by which smallest number must 5400 be multiplied to make it a perfect cube ​

Answer 1

Answer:

Perfect square is a number in which the ones place has 0, 2, 4,6,5,9,8.

The following number should be therefore divided by 2 to make it a perfect square.

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Answer 2

ANSWER IS MENTIONED BELOW:

Prime factorising 5400, we get,

5400=3×3×3×5×5×2×2×2

        = 3^3×2^3×5^2

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 2's is 3, number of 3's is 3 and number of 5's is 2.

So we need to multiply another 5 to the factorization to make 5400 a perfect cube.

Hence, the smallest number by which 5400 must be multiplied to obtain a perfect cube is 5

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