What 2 square numbers subtract to make 1648?

What two square numbers subtract to make 1648? In other words, when you subtract one square number from another square number, the answer is 1648. 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 = 1648

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

107² - 99² = 1648

107² is 11449 and 99² is 9801, therefore the answer to the question "What 2 square numbers subtract to make 1648?" is 11449 and 9801 as illustrated below:

11449 - 9801 = 1648

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 1648. Below we list alternate solutions if available.

43264 - 41616 = 1648
170569 - 168921 = 1648

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