What 2 square numbers subtract to make 4180?

What two square numbers subtract to make 4180? In other words, when you subtract one square number from another square number, the answer is 4180. 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 = 4180

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

74² - 36² = 4180

74² is 5476 and 36² is 1296, therefore the answer to the question "What 2 square numbers subtract to make 4180?" is 5476 and 1296 as illustrated below:

5476 - 1296 = 4180

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 4180. Below we list alternate solutions if available.

11236 - 7056 = 4180
45796 - 41616 = 4180

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