What 2 square numbers subtract to make 337?

What two square numbers subtract to make 337? In other words, when you subtract one square number from another square number, the answer is 337. 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 = 337

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

169² - 168² = 337

169² is 28561 and 168² is 28224, therefore the answer to the question "What 2 square numbers subtract to make 337?" is 28561 and 28224 as illustrated below:

28561 - 28224 = 337

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 337. Below we list alternate solutions if available.

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