What 2 square numbers subtract to make 3971?

What two square numbers subtract to make 3971? In other words, when you subtract one square number from another square number, the answer is 3971. 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 = 3971

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

114² - 95² = 3971

114² is 12996 and 95² is 9025, therefore the answer to the question "What 2 square numbers subtract to make 3971?" is 12996 and 9025 as illustrated below:

12996 - 9025 = 3971

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 3971. Below we list alternate solutions if available.

34596 - 30625 = 3971

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