What 2 square numbers subtract to make 6852?

What two square numbers subtract to make 6852? In other words, when you subtract one square number from another square number, the answer is 6852. 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 = 6852

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

574² - 568² = 6852

574² is 329476 and 568² is 322624, therefore the answer to the question "What 2 square numbers subtract to make 6852?" is 329476 and 322624 as illustrated below:

329476 - 322624 = 6852

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 6852. Below we list alternate solutions if available.

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