What 2 square numbers subtract to make 2172?

What two square numbers subtract to make 2172? In other words, when you subtract one square number from another square number, the answer is 2172. 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 = 2172

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

184² - 178² = 2172

184² is 33856 and 178² is 31684, therefore the answer to the question "What 2 square numbers subtract to make 2172?" is 33856 and 31684 as illustrated below:

33856 - 31684 = 2172

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 2172. Below we list alternate solutions if available.

295936 - 293764 = 2172

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