What 2 square numbers subtract to make 7692?

What two square numbers subtract to make 7692? In other words, when you subtract one square number from another square number, the answer is 7692. 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 = 7692

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

644² - 638² = 7692

644² is 414736 and 638² is 407044, therefore the answer to the question "What 2 square numbers subtract to make 7692?" is 414736 and 407044 as illustrated below:

414736 - 407044 = 7692

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 7692. Below we list alternate solutions if available.

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