What 2 square numbers subtract to make 1097?

What two square numbers subtract to make 1097? In other words, when you subtract one square number from another square number, the answer is 1097. 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 = 1097

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

549² - 548² = 1097

549² is 301401 and 548² is 300304, therefore the answer to the question "What 2 square numbers subtract to make 1097?" is 301401 and 300304 as illustrated below:

301401 - 300304 = 1097

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 1097. Below we list alternate solutions if available.

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