What 2 square numbers subtract to make 548?

What two square numbers subtract to make 548? In other words, when you subtract one square number from another square number, the answer is 548. 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 = 548

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

138² - 136² = 548

138² is 19044 and 136² is 18496, therefore the answer to the question "What 2 square numbers subtract to make 548?" is 19044 and 18496 as illustrated below:

19044 - 18496 = 548

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 548. Below we list alternate solutions if available.

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