SOLUTION: what is the least number that must be added to 5607 to make the sum a perfect square?

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Question 1042090: what is the least number that must be added to 5607 to make the sum a perfect square?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Take the square root of 5607 to get
sqrt%285607%29=74.8799
So 5607 is between 74%5E2=5476 and 75%5E2=5625

We must ask ourselves: what is the value of x that makes this equation true?
5607+x = 5625

To find out, subtract 5607 from both sides to get

5607+x = 5625
5607+x-5607 = 5625-5607
x = 18
Therefore, you must add 18 to 5607 to get the sum to be a perfect square. 18 is the smallest you can add.

Final Answer: 18