Find the least number which must be added to the number 2252 to make them a perfect square.
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Answered by
1
Answer:
Correct option is
B
7,42
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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