What 2 square numbers subtract to make 4048?

What two square numbers subtract to make 4048? In other words, when you subtract one square number from another square number, the answer is 4048. 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 = 4048

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

67² - 21² = 4048

67² is 4489 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 4048?" is 4489 and 441 as illustrated below:

4489 - 441 = 4048

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 4048. Below we list alternate solutions if available.

4624 - 576 = 4048
10609 - 6561 = 4048
66049 - 62001 = 4048

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