What 2 square numbers subtract to make 3644?

What two square numbers subtract to make 3644? In other words, when you subtract one square number from another square number, the answer is 3644. 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 = 3644

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

912² - 910² = 3644

912² is 831744 and 910² is 828100, therefore the answer to the question "What 2 square numbers subtract to make 3644?" is 831744 and 828100 as illustrated below:

831744 - 828100 = 3644

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 3644. Below we list alternate solutions if available.

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