What 2 square numbers subtract to make 5484?

What two square numbers subtract to make 5484? In other words, when you subtract one square number from another square number, the answer is 5484. 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 = 5484

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

460² - 454² = 5484

460² is 211600 and 454² is 206116, therefore the answer to the question "What 2 square numbers subtract to make 5484?" is 211600 and 206116 as illustrated below:

211600 - 206116 = 5484

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 5484. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 5485?
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