What 2 square numbers subtract to make 3540?

What two square numbers subtract to make 3540? In other words, when you subtract one square number from another square number, the answer is 3540. 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 = 3540

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

74² - 44² = 3540

74² is 5476 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 3540?" is 5476 and 1936 as illustrated below:

5476 - 1936 = 3540

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 3540. Below we list alternate solutions if available.

33124 - 29584 = 3540
88804 - 85264 = 3540
784996 - 781456 = 3540

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