What 2 square numbers subtract to make 2168?

What two square numbers subtract to make 2168? In other words, when you subtract one square number from another square number, the answer is 2168. 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 = 2168

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

273² - 269² = 2168

273² is 74529 and 269² is 72361, therefore the answer to the question "What 2 square numbers subtract to make 2168?" is 74529 and 72361 as illustrated below:

74529 - 72361 = 2168

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 2168. Below we list alternate solutions if available.

294849 - 292681 = 2168

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