What 2 square numbers subtract to make 500?

What two square numbers subtract to make 500? In other words, when you subtract one square number from another square number, the answer is 500. 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 = 500

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

30² - 20² = 500

30² is 900 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 500?" is 900 and 400 as illustrated below:

900 - 400 = 500

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 500. Below we list alternate solutions if available.

15876 - 15376 = 500

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