What 2 square numbers subtract to make 8371?

What two square numbers subtract to make 8371? In other words, when you subtract one square number from another square number, the answer is 8371. 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 = 8371

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

386² - 375² = 8371

386² is 148996 and 375² is 140625, therefore the answer to the question "What 2 square numbers subtract to make 8371?" is 148996 and 140625 as illustrated below:

148996 - 140625 = 8371

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 8371. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 8372?
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