What 2 square numbers subtract to make 2463?

What two square numbers subtract to make 2463? In other words, when you subtract one square number from another square number, the answer is 2463. 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 = 2463

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

412² - 409² = 2463

412² is 169744 and 409² is 167281, therefore the answer to the question "What 2 square numbers subtract to make 2463?" is 169744 and 167281 as illustrated below:

169744 - 167281 = 2463

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 2463. Below we list alternate solutions if available.

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