What 2 square numbers subtract to make 3076?

What two square numbers subtract to make 3076? In other words, when you subtract one square number from another square number, the answer is 3076. 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 = 3076

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

770² - 768² = 3076

770² is 592900 and 768² is 589824, therefore the answer to the question "What 2 square numbers subtract to make 3076?" is 592900 and 589824 as illustrated below:

592900 - 589824 = 3076

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 3076. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3077?
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