What 2 square numbers subtract to make 4848?

What two square numbers subtract to make 4848? In other words, when you subtract one square number from another square number, the answer is 4848. 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 = 4848

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

113² - 89² = 4848

113² is 12769 and 89² is 7921, therefore the answer to the question "What 2 square numbers subtract to make 4848?" is 12769 and 7921 as illustrated below:

12769 - 7921 = 4848

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 4848. Below we list alternate solutions if available.

43264 - 38416 = 4848
94249 - 89401 = 4848
165649 - 160801 = 4848

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