What 2 square numbers subtract to make 797?

What two square numbers subtract to make 797? In other words, when you subtract one square number from another square number, the answer is 797. 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 = 797

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

399² - 398² = 797

399² is 159201 and 398² is 158404, therefore the answer to the question "What 2 square numbers subtract to make 797?" is 159201 and 158404 as illustrated below:

159201 - 158404 = 797

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 797. Below we list alternate solutions if available.

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