What 2 square numbers subtract to make 827?

What two square numbers subtract to make 827? In other words, when you subtract one square number from another square number, the answer is 827. 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 = 827

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

414² - 413² = 827

414² is 171396 and 413² is 170569, therefore the answer to the question "What 2 square numbers subtract to make 827?" is 171396 and 170569 as illustrated below:

171396 - 170569 = 827

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 827. Below we list alternate solutions if available.

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