What 2 square numbers subtract to make 9852?

What two square numbers subtract to make 9852? In other words, when you subtract one square number from another square number, the answer is 9852. 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 = 9852

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

824² - 818² = 9852

824² is 678976 and 818² is 669124, therefore the answer to the question "What 2 square numbers subtract to make 9852?" is 678976 and 669124 as illustrated below:

678976 - 669124 = 9852

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 9852. Below we list alternate solutions if available.

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