What 2 square numbers subtract to make 2811?

What two square numbers subtract to make 2811? In other words, when you subtract one square number from another square number, the answer is 2811. 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 = 2811

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

470² - 467² = 2811

470² is 220900 and 467² is 218089, therefore the answer to the question "What 2 square numbers subtract to make 2811?" is 220900 and 218089 as illustrated below:

220900 - 218089 = 2811

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 2811. Below we list alternate solutions if available.

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