What 2 square numbers subtract to make 8813?

What two square numbers subtract to make 8813? In other words, when you subtract one square number from another square number, the answer is 8813. 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 = 8813

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

633² - 626² = 8813

633² is 400689 and 626² is 391876, therefore the answer to the question "What 2 square numbers subtract to make 8813?" is 400689 and 391876 as illustrated below:

400689 - 391876 = 8813

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 8813. Below we list alternate solutions if available.

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