What 2 square numbers subtract to make 1373?

What two square numbers subtract to make 1373? In other words, when you subtract one square number from another square number, the answer is 1373. 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 = 1373

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

687² - 686² = 1373

687² is 471969 and 686² is 470596, therefore the answer to the question "What 2 square numbers subtract to make 1373?" is 471969 and 470596 as illustrated below:

471969 - 470596 = 1373

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 1373. Below we list alternate solutions if available.

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