What 2 square numbers subtract to make 635?

What two square numbers subtract to make 635? In other words, when you subtract one square number from another square number, the answer is 635. 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 = 635

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

66² - 61² = 635

66² is 4356 and 61² is 3721, therefore the answer to the question "What 2 square numbers subtract to make 635?" is 4356 and 3721 as illustrated below:

4356 - 3721 = 635

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 635. Below we list alternate solutions if available.

101124 - 100489 = 635

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