What 2 square numbers subtract to make 864?

What two square numbers subtract to make 864? In other words, when you subtract one square number from another square number, the answer is 864. 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 = 864

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

30² - 6² = 864

30² is 900 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 864?" is 900 and 36 as illustrated below:

900 - 36 = 864

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 864. Below we list alternate solutions if available.

1089 - 225 = 864
1225 - 361 = 864
1764 - 900 = 864

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