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What is the smallest number which …

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What is the smallest number which must be added to 15370 to make it a perfect square? (Show workings)

  • 1 answers

Naveen Sharma 8 years ago

Ans. First let us find the square of 15370 using long division method.

The remainder is 241. Hence, (123)2 < 15370 
The next perfect square number is (124)2 = 15376 > 15370

Hence, the number to be added is 15376 - 15370 = 6
Therefore 6 should be added to 15370 to get a perfect square.

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