What 2 square numbers subtract to make 8484?

What two square numbers subtract to make 8484? In other words, when you subtract one square number from another square number, the answer is 8484. 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 = 8484

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

122² - 80² = 8484

122² is 14884 and 80² is 6400, therefore the answer to the question "What 2 square numbers subtract to make 8484?" is 14884 and 6400 as illustrated below:

14884 - 6400 = 8484

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 8484. Below we list alternate solutions if available.

96100 - 87616 = 8484
504100 - 495616 = 8484

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