What 2 square numbers subtract to make 2492?

What two square numbers subtract to make 2492? In other words, when you subtract one square number from another square number, the answer is 2492. 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 = 2492

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

96² - 82² = 2492

96² is 9216 and 82² is 6724, therefore the answer to the question "What 2 square numbers subtract to make 2492?" is 9216 and 6724 as illustrated below:

9216 - 6724 = 2492

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 2492. Below we list alternate solutions if available.

389376 - 386884 = 2492

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