What 2 square numbers subtract to make 3241?

What two square numbers subtract to make 3241? In other words, when you subtract one square number from another square number, the answer is 3241. 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 = 3241

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

235² - 228² = 3241

235² is 55225 and 228² is 51984, therefore the answer to the question "What 2 square numbers subtract to make 3241?" is 55225 and 51984 as illustrated below:

55225 - 51984 = 3241

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 3241. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3242?
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