What 2 square numbers subtract to make 3092?

What two square numbers subtract to make 3092? In other words, when you subtract one square number from another square number, the answer is 3092. 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 = 3092

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

774² - 772² = 3092

774² is 599076 and 772² is 595984, therefore the answer to the question "What 2 square numbers subtract to make 3092?" is 599076 and 595984 as illustrated below:

599076 - 595984 = 3092

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 3092. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3093?
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