What 2 square numbers subtract to make 1361?

What two square numbers subtract to make 1361? In other words, when you subtract one square number from another square number, the answer is 1361. 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 = 1361

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

681² - 680² = 1361

681² is 463761 and 680² is 462400, therefore the answer to the question "What 2 square numbers subtract to make 1361?" is 463761 and 462400 as illustrated below:

463761 - 462400 = 1361

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 1361. Below we list alternate solutions if available.

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