What 2 square numbers subtract to make 8323?

What two square numbers subtract to make 8323? In other words, when you subtract one square number from another square number, the answer is 8323. 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 = 8323

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

122² - 81² = 8323

122² is 14884 and 81² is 6561, therefore the answer to the question "What 2 square numbers subtract to make 8323?" is 14884 and 6561 as illustrated below:

14884 - 6561 = 8323

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 8323. Below we list alternate solutions if available.

24964 - 16641 = 8323
357604 - 349281 = 8323

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What 2 square numbers subtract to make 8324?
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