What 2 square numbers subtract to make 521?

What two square numbers subtract to make 521? In other words, when you subtract one square number from another square number, the answer is 521. 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 = 521

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

261² - 260² = 521

261² is 68121 and 260² is 67600, therefore the answer to the question "What 2 square numbers subtract to make 521?" is 68121 and 67600 as illustrated below:

68121 - 67600 = 521

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 521. Below we list alternate solutions if available.

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