Question

find the number which should be multiplied to 392 to make it a perfect cube find the cube root of the number so obtained​

Answer 1

Answer:

In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7 and cube root of the number 2744 is 14

Answer 2

Answer:

Prime factorising 392, we get,

392=2×2×2×7×7=2 3×7 2.

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

Here, number of 2's is 3 and number of 7's is 2.

So we need to multiply another 7 to the factorization to make 392 a perfect cube.

Hence, the smallest number by which 392 must be multiplied to obtain a perfect cube is 7.

Step-by-step explanation:

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