What 2 square numbers subtract to make 2540?

What two square numbers subtract to make 2540? In other words, when you subtract one square number from another square number, the answer is 2540. 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 = 2540

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

132² - 122² = 2540

132² is 17424 and 122² is 14884, therefore the answer to the question "What 2 square numbers subtract to make 2540?" is 17424 and 14884 as illustrated below:

17424 - 14884 = 2540

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 2540. Below we list alternate solutions if available.

404496 - 401956 = 2540

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