What 2 square numbers subtract to make 3133?

What two square numbers subtract to make 3133? In other words, when you subtract one square number from another square number, the answer is 3133. 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 = 3133

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

127² - 114² = 3133

127² is 16129 and 114² is 12996, therefore the answer to the question "What 2 square numbers subtract to make 3133?" is 16129 and 12996 as illustrated below:

16129 - 12996 = 3133

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 3133. Below we list alternate solutions if available.

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