find the least no. that must be added to 2563 so as to get a perfect square
Answers
The least no. that must be added to 2563 so as to get a perfect square is 38
Step-by-step explanation:
The number given is 2563
If the number is perfect square then its square root must be a whole number
If we take the digits in pair then we get two pairs 25 and 63
We know that 5 × 5 = 25
Therefore, the first digit of the square root should be 5
For the second digit to be perfect square the last digit of the 4 digit number should be either 0, 1, 4, 9
We know that
50 × 50 = 2500 which is less then 2563
Now taking the last digit in the number to be 1, we get the square root to be 51
51 × 51 = 2601 which is greater than 2563 and it will be the perfect square
Number to be added in 2563 = 2601 - 2563 = 38
Hope this answer is helpful.
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