What 2 square numbers subtract to make 4923?

What two square numbers subtract to make 4923? In other words, when you subtract one square number from another square number, the answer is 4923. 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 = 4923

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

278² - 269² = 4923

278² is 77284 and 269² is 72361, therefore the answer to the question "What 2 square numbers subtract to make 4923?" is 77284 and 72361 as illustrated below:

77284 - 72361 = 4923

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 4923. Below we list alternate solutions if available.

675684 - 670761 = 4923

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