Math, asked by gujjargujjargujjar53, 1 month ago

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

Answers

Answered by janaarizoo
5

Answer:

23

Step-by-step explanation:

23 is the least number to make it perfect square.

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Answered by tennetiraj86
7

Step-by-step explanation:

Given :-

2550

To find:-

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 51

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