What 2 square numbers subtract to make 6597?

What two square numbers subtract to make 6597? In other words, when you subtract one square number from another square number, the answer is 6597. 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 = 6597

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

371² - 362² = 6597

371² is 137641 and 362² is 131044, therefore the answer to the question "What 2 square numbers subtract to make 6597?" is 137641 and 131044 as illustrated below:

137641 - 131044 = 6597

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 6597. Below we list alternate solutions if available.

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