What 2 square numbers subtract to make 3580?

What two square numbers subtract to make 3580? In other words, when you subtract one square number from another square number, the answer is 3580. 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 = 3580

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

184² - 174² = 3580

184² is 33856 and 174² is 30276, therefore the answer to the question "What 2 square numbers subtract to make 3580?" is 33856 and 30276 as illustrated below:

33856 - 30276 = 3580

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 3580. Below we list alternate solutions if available.

802816 - 799236 = 3580

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