What 2 square numbers subtract to make 539?

What two square numbers subtract to make 539? In other words, when you subtract one square number from another square number, the answer is 539. 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 = 539

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

30² - 19² = 539

30² is 900 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 539?" is 900 and 361 as illustrated below:

900 - 361 = 539

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 539. Below we list alternate solutions if available.

1764 - 1225 = 539
72900 - 72361 = 539

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