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Question

For 2028 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.
[4 marks]
[NCERT - Ex 6.3, Q5 (iv)]
[Finding Square Root]

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Solution

220282101435071316913131

2028=2×2×3×13×13
[2 mark]

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

2028×3=6084
And 6084=2×3×13=78

Thus, 78 is the square root of the square number so obtained.
[1 mark]


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