Find the least number which must be added to 2550 to make it a perfect square
Answers
Answer:
23
Step-by-step explanation:
23 is the least number to make it perfect square.
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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