What 2 square numbers subtract to make 597?

What two square numbers subtract to make 597? In other words, when you subtract one square number from another square number, the answer is 597. 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 = 597

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

101² - 98² = 597

101² is 10201 and 98² is 9604, therefore the answer to the question "What 2 square numbers subtract to make 597?" is 10201 and 9604 as illustrated below:

10201 - 9604 = 597

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 597. Below we list alternate solutions if available.

89401 - 88804 = 597

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