What 2 square numbers subtract to make 6540?

What two square numbers subtract to make 6540? In other words, when you subtract one square number from another square number, the answer is 6540. 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 = 6540

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

124² - 94² = 6540

124² is 15376 and 94² is 8836, therefore the answer to the question "What 2 square numbers subtract to make 6540?" is 15376 and 8836 as illustrated below:

15376 - 8836 = 6540

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 6540. Below we list alternate solutions if available.

110224 - 103684 = 6540
300304 - 293764 = 6540

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