What 2 square numbers subtract to make 4796?

What two square numbers subtract to make 4796? In other words, when you subtract one square number from another square number, the answer is 4796. 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 = 4796

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

120² - 98² = 4796

120² is 14400 and 98² is 9604, therefore the answer to the question "What 2 square numbers subtract to make 4796?" is 14400 and 9604 as illustrated below:

14400 - 9604 = 4796

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 4796. Below we list alternate solutions if available.

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