What 2 square numbers subtract to make 1811?

What two square numbers subtract to make 1811? In other words, when you subtract one square number from another square number, the answer is 1811. 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 = 1811

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

906² - 905² = 1811

906² is 820836 and 905² is 819025, therefore the answer to the question "What 2 square numbers subtract to make 1811?" is 820836 and 819025 as illustrated below:

820836 - 819025 = 1811

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 1811. Below we list alternate solutions if available.

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