What 2 square numbers subtract to make 484?

What two square numbers subtract to make 484? In other words, when you subtract one square number from another square number, the answer is 484. 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 = 484

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

122² - 120² = 484

122² is 14884 and 120² is 14400, therefore the answer to the question "What 2 square numbers subtract to make 484?" is 14884 and 14400 as illustrated below:

14884 - 14400 = 484

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 484. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 485?
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