What 2 square numbers subtract to make 6564?

What two square numbers subtract to make 6564? In other words, when you subtract one square number from another square number, the answer is 6564. 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 = 6564

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

550² - 544² = 6564

550² is 302500 and 544² is 295936, therefore the answer to the question "What 2 square numbers subtract to make 6564?" is 302500 and 295936 as illustrated below:

302500 - 295936 = 6564

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 6564. Below we list alternate solutions if available.

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