What 2 square numbers subtract to make 8281?

What two square numbers subtract to make 8281? In other words, when you subtract one square number from another square number, the answer is 8281. 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 = 8281

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

109² - 60² = 8281

109² is 11881 and 60² is 3600, therefore the answer to the question "What 2 square numbers subtract to make 8281?" is 11881 and 3600 as illustrated below:

11881 - 3600 = 8281

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 8281. Below we list alternate solutions if available.

105625 - 97344 = 8281
354025 - 345744 = 8281

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What 2 square numbers subtract to make 8282?
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