What 2 square numbers subtract to make 971?

What two square numbers subtract to make 971? In other words, when you subtract one square number from another square number, the answer is 971. 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 = 971

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

486² - 485² = 971

486² is 236196 and 485² is 235225, therefore the answer to the question "What 2 square numbers subtract to make 971?" is 236196 and 235225 as illustrated below:

236196 - 235225 = 971

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 971. Below we list alternate solutions if available.

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