Find the least number which must be added to each of the following numbers so as to get a perfect square Also find the square root of the perfect square so obtained

Answers (1)

We have

  22
2
5
25?4
42 1            25 ?             84
                 41

  This shows that  222<525

. Next perfect square is  232=529

. Hence, the number to be added is 232−525=529−525=4

. Therefore, the perfect square so obtained is 525+4=529

. Hence, \sqrt{529}= 23

.

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