What 2 square numbers subtract to make 3609?

What two square numbers subtract to make 3609? In other words, when you subtract one square number from another square number, the answer is 3609. 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 = 3609

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

205² - 196² = 3609

205² is 42025 and 196² is 38416, therefore the answer to the question "What 2 square numbers subtract to make 3609?" is 42025 and 38416 as illustrated below:

42025 - 38416 = 3609

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 3609. Below we list alternate solutions if available.

363609 - 360000 = 3609

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