What 2 square numbers subtract to make 865?

What two square numbers subtract to make 865? In other words, when you subtract one square number from another square number, the answer is 865. 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 = 865

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

89² - 84² = 865

89² is 7921 and 84² is 7056, therefore the answer to the question "What 2 square numbers subtract to make 865?" is 7921 and 7056 as illustrated below:

7921 - 7056 = 865

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 865. Below we list alternate solutions if available.

187489 - 186624 = 865

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