## Find the least number which must be added to 2550 to make it a perfect square

Question

Find the least number which must be added to 2550 to make it a perfect square

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Mathematics
2 years
2021-06-24T13:40:07+00:00
2021-06-24T13:40:07+00:00 2 Answers
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## Answers ( )

Step-by-step explanation:Given:–2550

Tofind:–Find the least number which must be added to 2550 to make it a perfect square ?

Solution:–Given number = 2550

50 | 25 50 |50

25 00

____________

50

-_____________

2550 lies between 2500 and 2601

= > 2500 < 2550< 2601

=> 50^2 < 2550 < 51^2

The next square number to 2550 = 2601=51^2

The difference = 2601-2550 = 51

If 51 is added to 2550 then it will be a perfect square number

=> 2550+51 = 2601

=> 51^2

or

Let the required least number be X

=> 2550+X = a perfect square

=> 2550+X = n^2

The next perfect square after 2550 is 2601

=> 2550+X = 51^2

=> 2550+X = 2601

=> X = 2601-2550

=> X = 51

Answer:–The least number which must be added to 2550 to make it a perfect square is

51Answer:23

Step-by-step explanation:23 is the least number to make it perfect square.

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