What 2 square numbers subtract to make 8397?

What two square numbers subtract to make 8397? In other words, when you subtract one square number from another square number, the answer is 8397. 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 = 8397

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

169² - 142² = 8397

169² is 28561 and 142² is 20164, therefore the answer to the question "What 2 square numbers subtract to make 8397?" is 28561 and 20164 as illustrated below:

28561 - 20164 = 8397

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 8397. Below we list alternate solutions if available.

221841 - 213444 = 8397

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