What 2 square numbers subtract to make 2481?

What two square numbers subtract to make 2481? In other words, when you subtract one square number from another square number, the answer is 2481. 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 = 2481

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

415² - 412² = 2481

415² is 172225 and 412² is 169744, therefore the answer to the question "What 2 square numbers subtract to make 2481?" is 172225 and 169744 as illustrated below:

172225 - 169744 = 2481

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 2481. Below we list alternate solutions if available.

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