Question

Find the least number which must be added to the following numbers to make each a perfect square : (i) 4931 (ii) 2546031.​

Answer 1

Answer:

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Step-by-step explanation:

(i) $70^{2}$ = 4900  

which is less than 4931  

The next perfect square is $71^{2}$ = 5041  

To make 4931 a perfect square we need to add

5041 − 4931 = 110 to it.

Therefore the least number that must be added to 4931 to get a perfect square is 110 .

(ii) $15195 ^ {2}$ = 2544025

which is less than 2546031

The next perfect square is $15196 ^ {2}$ = 230918416

To make 2546031 a perfect square we need to add

230918416 - 2546031 = 228372385 to it.

Therefore the least number that must be added to 2546031 to get a perfect square is 228372385 .

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