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What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?

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What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?
  • A17
  • B20
  • C11
  • D9
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CCommunity
Sum of squares of 15 and 14 = 152 + 142 = 225 + 196 = 421

The nearest perfect square is 212 (= 441).

Smallest number that should be added the sum of squares of 15 and 14, so that the resulting number is a perfect square = 441 – 421 = 20

∴ Smallest number that should be added the sum of squares of 15 and 14, so that the resulting number is a perfect square = 20