What 2 square numbers subtract to make 8292?

What two square numbers subtract to make 8292? In other words, when you subtract one square number from another square number, the answer is 8292. 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 = 8292

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

694² - 688² = 8292

694² is 481636 and 688² is 473344, therefore the answer to the question "What 2 square numbers subtract to make 8292?" is 481636 and 473344 as illustrated below:

481636 - 473344 = 8292

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 8292. Below we list alternate solutions if available.

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