Find the least number which must be added to the number 2252 to make them a perfect square.
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Answer:
252=2×2×3×3×7
The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.
Hence, the smallest number by which 252 must be multiplied so that
the product is a perfect square is 7.
And, 252×7=2×2×3×3×7×7
252×7=2×2×3×3×7×7=2×3×7=42
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