What 2 square numbers subtract to make 9597?

What two square numbers subtract to make 9597? In other words, when you subtract one square number from another square number, the answer is 9597. 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 = 9597

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

239² - 218² = 9597

239² is 57121 and 218² is 47524, therefore the answer to the question "What 2 square numbers subtract to make 9597?" is 57121 and 47524 as illustrated below:

57121 - 47524 = 9597

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 9597. Below we list alternate solutions if available.

474721 - 465124 = 9597

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