What 2 square numbers subtract to make 3669?

What two square numbers subtract to make 3669? In other words, when you subtract one square number from another square number, the answer is 3669. 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 = 3669

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

613² - 610² = 3669

613² is 375769 and 610² is 372100, therefore the answer to the question "What 2 square numbers subtract to make 3669?" is 375769 and 372100 as illustrated below:

375769 - 372100 = 3669

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 3669. Below we list alternate solutions if available.

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