What 2 square numbers subtract to make 9564?

What two square numbers subtract to make 9564? In other words, when you subtract one square number from another square number, the answer is 9564. 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 = 9564

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

800² - 794² = 9564

800² is 640000 and 794² is 630436, therefore the answer to the question "What 2 square numbers subtract to make 9564?" is 640000 and 630436 as illustrated below:

640000 - 630436 = 9564

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 9564. Below we list alternate solutions if available.

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