What 2 square numbers subtract to make 5640?

What two square numbers subtract to make 5640? In other words, when you subtract one square number from another square number, the answer is 5640. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 5640

We solved the equation above and found this to be true:

77² - 17² = 5640

77² is 5929 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 5640?" is 5929 and 289 as illustrated below:

5929 - 289 = 5640

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 5640. Below we list alternate solutions if available.

11881 - 6241 = 5640
22801 - 17161 = 5640
58081 - 52441 = 5640

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