What 2 square numbers subtract to make 2831?

What two square numbers subtract to make 2831? In other words, when you subtract one square number from another square number, the answer is 2831. 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 = 2831

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

84² - 65² = 2831

84² is 7056 and 65² is 4225, therefore the answer to the question "What 2 square numbers subtract to make 2831?" is 7056 and 4225 as illustrated below:

7056 - 4225 = 2831

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 2831. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 2832?
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