What 2 square numbers subtract to make 7397?

What two square numbers subtract to make 7397? In other words, when you subtract one square number from another square number, the answer is 7397. 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 = 7397

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

291² - 278² = 7397

291² is 84681 and 278² is 77284, therefore the answer to the question "What 2 square numbers subtract to make 7397?" is 84681 and 77284 as illustrated below:

84681 - 77284 = 7397

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 7397. Below we list alternate solutions if available.

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