What 2 square numbers subtract to make 8964?

What two square numbers subtract to make 8964? In other words, when you subtract one square number from another square number, the answer is 8964. 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 = 8964

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

110² - 56² = 8964

110² is 12100 and 56² is 3136, therefore the answer to the question "What 2 square numbers subtract to make 8964?" is 12100 and 3136 as illustrated below:

12100 - 3136 = 8964

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 8964. Below we list alternate solutions if available.

66564 - 57600 = 8964
562500 - 553536 = 8964

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