What 2 square numbers subtract to make 5384?

What two square numbers subtract to make 5384? In other words, when you subtract one square number from another square number, the answer is 5384. 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 = 5384

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

675² - 671² = 5384

675² is 455625 and 671² is 450241, therefore the answer to the question "What 2 square numbers subtract to make 5384?" is 455625 and 450241 as illustrated below:

455625 - 450241 = 5384

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 5384. Below we list alternate solutions if available.

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