What 2 square numbers subtract to make 8327?

What two square numbers subtract to make 8327? In other words, when you subtract one square number from another square number, the answer is 8327. 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 = 8327

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

384² - 373² = 8327

384² is 147456 and 373² is 139129, therefore the answer to the question "What 2 square numbers subtract to make 8327?" is 147456 and 139129 as illustrated below:

147456 - 139129 = 8327

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 8327. Below we list alternate solutions if available.

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