What 2 square numbers subtract to make 961?

What two square numbers subtract to make 961? In other words, when you subtract one square number from another square number, the answer is 961. 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 = 961

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

481² - 480² = 961

481² is 231361 and 480² is 230400, therefore the answer to the question "What 2 square numbers subtract to make 961?" is 231361 and 230400 as illustrated below:

231361 - 230400 = 961

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 961. Below we list alternate solutions if available.

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