What 2 square numbers subtract to make 2716?

What two square numbers subtract to make 2716? In other words, when you subtract one square number from another square number, the answer is 2716. 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 = 2716

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

104² - 90² = 2716

104² is 10816 and 90² is 8100, therefore the answer to the question "What 2 square numbers subtract to make 2716?" is 10816 and 8100 as illustrated below:

10816 - 8100 = 2716

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 2716. Below we list alternate solutions if available.

462400 - 459684 = 2716

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