What 2 square numbers subtract to make 2648?

What two square numbers subtract to make 2648? In other words, when you subtract one square number from another square number, the answer is 2648. 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 = 2648

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

333² - 329² = 2648

333² is 110889 and 329² is 108241, therefore the answer to the question "What 2 square numbers subtract to make 2648?" is 110889 and 108241 as illustrated below:

110889 - 108241 = 2648

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 2648. Below we list alternate solutions if available.

439569 - 436921 = 2648

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