What 2 square numbers subtract to make 3648?

What two square numbers subtract to make 3648? In other words, when you subtract one square number from another square number, the answer is 3648. 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 = 3648

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

62² - 14² = 3648

62² is 3844 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 3648?" is 3844 and 196 as illustrated below:

3844 - 196 = 3648

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 3648. Below we list alternate solutions if available.

4489 - 841 = 3648
5329 - 1681 = 3648
7744 - 4096 = 3648

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