What 2 square numbers subtract to make 7133?

What two square numbers subtract to make 7133? In other words, when you subtract one square number from another square number, the answer is 7133. 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 = 7133

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

513² - 506² = 7133

513² is 263169 and 506² is 256036, therefore the answer to the question "What 2 square numbers subtract to make 7133?" is 263169 and 256036 as illustrated below:

263169 - 256036 = 7133

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 7133. Below we list alternate solutions if available.

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