What 2 square numbers subtract to make 591?

What two square numbers subtract to make 591? In other words, when you subtract one square number from another square number, the answer is 591. 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 = 591

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

100² - 97² = 591

100² is 10000 and 97² is 9409, therefore the answer to the question "What 2 square numbers subtract to make 591?" is 10000 and 9409 as illustrated below:

10000 - 9409 = 591

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 591. Below we list alternate solutions if available.

87616 - 87025 = 591

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