What 2 square numbers subtract to make 3031?

What two square numbers subtract to make 3031? In other words, when you subtract one square number from another square number, the answer is 3031. 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 = 3031

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

220² - 213² = 3031

220² is 48400 and 213² is 45369, therefore the answer to the question "What 2 square numbers subtract to make 3031?" is 48400 and 45369 as illustrated below:

48400 - 45369 = 3031

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 3031. Below we list alternate solutions if available.

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