Question

Find the smallest natural number by which 392 must be multiplied so that the product becomes a perfect cube.Also find the cube root of the new number so obtained

Answer 1

we will be doing prime factorisation of 392 =
2 x 2 x 2 x 7 x 7

so therefore 2 has all its three pairs but 7 only has 2 pairs.

hence we will multiply 392 by 7.
392 x 7 = 2744.

cube root of 2744 = 14 x 14 x 14 = 14.

Hope it helps!!!!

Answer 2

Refer to this image.

Hope this helps. ✌

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