What 2 square numbers subtract to make 2776?

What two square numbers subtract to make 2776? In other words, when you subtract one square number from another square number, the answer is 2776. 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 = 2776

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

349² - 345² = 2776

349² is 121801 and 345² is 119025, therefore the answer to the question "What 2 square numbers subtract to make 2776?" is 121801 and 119025 as illustrated below:

121801 - 119025 = 2776

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 2776. Below we list alternate solutions if available.

483025 - 480249 = 2776

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