What 2 square numbers subtract to make 7704?

What two square numbers subtract to make 7704? In other words, when you subtract one square number from another square number, the answer is 7704. 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 = 7704

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

125² - 89² = 7704

125² is 15625 and 89² is 7921, therefore the answer to the question "What 2 square numbers subtract to make 7704?" is 15625 and 7921 as illustrated below:

15625 - 7921 = 7704

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 7704. Below we list alternate solutions if available.

49729 - 42025 = 7704
106929 - 99225 = 7704
416025 - 408321 = 7704

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