What 2 square numbers subtract to make 6240?

What two square numbers subtract to make 6240? In other words, when you subtract one square number from another square number, the answer is 6240. 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 = 6240

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

79² - 1² = 6240

79² is 6241 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 6240?" is 6241 and 1 as illustrated below:

6241 - 1 = 6240

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 6240. Below we list alternate solutions if available.

6724 - 484 = 6240
7396 - 1156 = 6240
7921 - 1681 = 6240

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What 2 square numbers subtract to make 6241?
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