What 2 square numbers subtract to make 5961?

What two square numbers subtract to make 5961? In other words, when you subtract one square number from another square number, the answer is 5961. 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 = 5961

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

995² - 992² = 5961

995² is 990025 and 992² is 984064, therefore the answer to the question "What 2 square numbers subtract to make 5961?" is 990025 and 984064 as illustrated below:

990025 - 984064 = 5961

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 5961. Below we list alternate solutions if available.

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