What 2 square numbers subtract to make 4912?

What two square numbers subtract to make 4912? In other words, when you subtract one square number from another square number, the answer is 4912. 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 = 4912

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

311² - 303² = 4912

311² is 96721 and 303² is 91809, therefore the answer to the question "What 2 square numbers subtract to make 4912?" is 96721 and 91809 as illustrated below:

96721 - 91809 = 4912

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 4912. Below we list alternate solutions if available.

379456 - 374544 = 4912

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