What 2 square numbers subtract to make 1108?

What two square numbers subtract to make 1108? In other words, when you subtract one square number from another square number, the answer is 1108. 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 = 1108

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

278² - 276² = 1108

278² is 77284 and 276² is 76176, therefore the answer to the question "What 2 square numbers subtract to make 1108?" is 77284 and 76176 as illustrated below:

77284 - 76176 = 1108

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 1108. Below we list alternate solutions if available.

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