What 2 square numbers subtract to make 8313?

What two square numbers subtract to make 8313? In other words, when you subtract one square number from another square number, the answer is 8313. 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 = 8313

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

107² - 56² = 8313

107² is 11449 and 56² is 3136, therefore the answer to the question "What 2 square numbers subtract to make 8313?" is 11449 and 3136 as illustrated below:

11449 - 3136 = 8313

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 8313. Below we list alternate solutions if available.

64009 - 55696 = 8313

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