Question

what is the smallest number by which 1372 must be multiplied to make it a perfect square?

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Answer 1

Answer:

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∴ is the smallest number by which 1372 must be multiplied so that the product becomes a perfect cube.

Step-by-step explanation:

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Answer 2

Let's take glance over our requirements, we need a number when divide 1372 gives a perfect cube.

For a number to be a perfect cube, its prime factorisation should have numbers in cube (i.e. x³y³z³…)

Prime factorisation of 1372 gives us:

1372= 2²×7³, So 2 is the only number not in cube. Therefore, multipliyng it by 2 or dividing it by 2² will make it a perfect cube.

1372/2² = 2²×7³/2² = 7³ = 343

So, the correct answer is 2²=4, as given in the figure!
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