What 2 square numbers subtract to make 6632?

What two square numbers subtract to make 6632? In other words, when you subtract one square number from another square number, the answer is 6632. 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 = 6632

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

831² - 827² = 6632

831² is 690561 and 827² is 683929, therefore the answer to the question "What 2 square numbers subtract to make 6632?" is 690561 and 683929 as illustrated below:

690561 - 683929 = 6632

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 6632. Below we list alternate solutions if available.

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