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  • 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

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

.

Posted by

Satyajeet Kumar

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