what would be added to 7912 to make the sum a perfect square?
Answers
Answered by
23
Answer:
9
Step-by-step explanation:
- Given what should be added to 7912 to make the sum a perfect square?
- First let us take square root of 7912
- So square root of 7912 is 88 and remainder is 168.
- Now 88^2 is 7744. We need to add to 7912 to make it a perfect square. 7744 is less than 7912.
- So let us consider 89^2 , it will be 7921.
- So 7921 - 7912 = 9
- Thus when 9 is added to 7912 we get 7921.
- hence 7921 is a perfect square.
The least number to be added to 7912 is 9 which makes the sum a perfect square.
Answered by
1
Answer:
9
Step-by-step explanation:
Doing the long division method we get 168 as remainder and 88 as quotient.
The remainder is 168.hence 88²<7912.
The next perfect square number is 89²=7921>7912.
Hence the number to be added is 7921-7912=9.
Therefore 9 must be added to 7912 to get a perfect square.
Hope this answer helps.
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