What 2 square numbers subtract to make 8985?

What two square numbers subtract to make 8985? In other words, when you subtract one square number from another square number, the answer is 8985. 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 = 8985

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

307² - 292² = 8985

307² is 94249 and 292² is 85264, therefore the answer to the question "What 2 square numbers subtract to make 8985?" is 94249 and 85264 as illustrated below:

94249 - 85264 = 8985

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 8985. Below we list alternate solutions if available.

811801 - 802816 = 8985

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