What 2 square numbers subtract to make 7281?

What two square numbers subtract to make 7281? In other words, when you subtract one square number from another square number, the answer is 7281. 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 = 7281

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

409² - 400² = 7281

409² is 167281 and 400² is 160000, therefore the answer to the question "What 2 square numbers subtract to make 7281?" is 167281 and 160000 as illustrated below:

167281 - 160000 = 7281

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 7281. Below we list alternate solutions if available.

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