What 2 square numbers subtract to make 7231?

What two square numbers subtract to make 7231? In other words, when you subtract one square number from another square number, the answer is 7231. 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 = 7231

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

520² - 513² = 7231

520² is 270400 and 513² is 263169, therefore the answer to the question "What 2 square numbers subtract to make 7231?" is 270400 and 263169 as illustrated below:

270400 - 263169 = 7231

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 7231. Below we list alternate solutions if available.

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