What 2 square numbers subtract to make 4168?

What two square numbers subtract to make 4168? In other words, when you subtract one square number from another square number, the answer is 4168. 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 = 4168

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

523² - 519² = 4168

523² is 273529 and 519² is 269361, therefore the answer to the question "What 2 square numbers subtract to make 4168?" is 273529 and 269361 as illustrated below:

273529 - 269361 = 4168

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 4168. Below we list alternate solutions if available.

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