What 2 square numbers subtract to make 4968?

What two square numbers subtract to make 4968? In other words, when you subtract one square number from another square number, the answer is 4968. 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 = 4968

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

73² - 19² = 4968

73² is 5329 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 4968?" is 5329 and 361 as illustrated below:

5329 - 361 = 4968

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 4968. Below we list alternate solutions if available.

5929 - 961 = 4968
7569 - 2601 = 4968
21609 - 16641 = 4968

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