What 2 square numbers subtract to make 4448?

What two square numbers subtract to make 4448? In other words, when you subtract one square number from another square number, the answer is 4448. 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 = 4448

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

147² - 131² = 4448

147² is 21609 and 131² is 17161, therefore the answer to the question "What 2 square numbers subtract to make 4448?" is 21609 and 17161 as illustrated below:

21609 - 17161 = 4448

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 4448. Below we list alternate solutions if available.

79524 - 75076 = 4448
311364 - 306916 = 4448

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