What 2 square numbers subtract to make 240?

What two square numbers subtract to make 240? In other words, when you subtract one square number from another square number, the answer is 240. 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 = 240

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

16² - 4² = 240

16² is 256 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 240?" is 256 and 16 as illustrated below:

256 - 16 = 240

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 240. Below we list alternate solutions if available.

289 - 49 = 240
361 - 121 = 240
529 - 289 = 240

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What 2 square numbers subtract to make 241?
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