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Question

Question 5 (iv)

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:

2028

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Solution

2028=2×2×3×13×13

Here, prime factor 3 has no pair. Therefore 2028 must be multiplied by 3 to make it a perfect square.

2028×3 = 6084
And 6084=2×2×3×3×13×13=78

220282101435071316913131


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