What 2 square numbers subtract to make 6635?

What two square numbers subtract to make 6635? In other words, when you subtract one square number from another square number, the answer is 6635. 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 = 6635

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

666² - 661² = 6635

666² is 443556 and 661² is 436921, therefore the answer to the question "What 2 square numbers subtract to make 6635?" is 443556 and 436921 as illustrated below:

443556 - 436921 = 6635

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 6635. Below we list alternate solutions if available.

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