What 2 square numbers subtract to make 1048?

What two square numbers subtract to make 1048? In other words, when you subtract one square number from another square number, the answer is 1048. 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 = 1048

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

133² - 129² = 1048

133² is 17689 and 129² is 16641, therefore the answer to the question "What 2 square numbers subtract to make 1048?" is 17689 and 16641 as illustrated below:

17689 - 16641 = 1048

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 1048. Below we list alternate solutions if available.

69169 - 68121 = 1048

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