What 2 square numbers subtract to make 4197?

What two square numbers subtract to make 4197? In other words, when you subtract one square number from another square number, the answer is 4197. 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 = 4197

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

701² - 698² = 4197

701² is 491401 and 698² is 487204, therefore the answer to the question "What 2 square numbers subtract to make 4197?" is 491401 and 487204 as illustrated below:

491401 - 487204 = 4197

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 4197. Below we list alternate solutions if available.

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