What 2 square numbers subtract to make 1563?

What two square numbers subtract to make 1563? In other words, when you subtract one square number from another square number, the answer is 1563. 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 = 1563

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

262² - 259² = 1563

262² is 68644 and 259² is 67081, therefore the answer to the question "What 2 square numbers subtract to make 1563?" is 68644 and 67081 as illustrated below:

68644 - 67081 = 1563

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 1563. Below we list alternate solutions if available.

611524 - 609961 = 1563

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