What 2 square numbers subtract to make 8664?

What two square numbers subtract to make 8664? In other words, when you subtract one square number from another square number, the answer is 8664. 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 = 8664

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

95² - 19² = 8664

95² is 9025 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 8664?" is 9025 and 361 as illustrated below:

9025 - 361 = 8664

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 8664. Below we list alternate solutions if available.

17689 - 9025 = 8664
134689 - 126025 = 8664
525625 - 516961 = 8664

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