What 2 square numbers subtract to make 3635?

What two square numbers subtract to make 3635? In other words, when you subtract one square number from another square number, the answer is 3635. 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 = 3635

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

366² - 361² = 3635

366² is 133956 and 361² is 130321, therefore the answer to the question "What 2 square numbers subtract to make 3635?" is 133956 and 130321 as illustrated below:

133956 - 130321 = 3635

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 3635. Below we list alternate solutions if available.

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