What 2 square numbers subtract to make 2292?

What two square numbers subtract to make 2292? In other words, when you subtract one square number from another square number, the answer is 2292. 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 = 2292

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

194² - 188² = 2292

194² is 37636 and 188² is 35344, therefore the answer to the question "What 2 square numbers subtract to make 2292?" is 37636 and 35344 as illustrated below:

37636 - 35344 = 2292

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 2292. Below we list alternate solutions if available.

329476 - 327184 = 2292

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