What 2 square numbers subtract to make 4803?

What two square numbers subtract to make 4803? In other words, when you subtract one square number from another square number, the answer is 4803. 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 = 4803

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

802² - 799² = 4803

802² is 643204 and 799² is 638401, therefore the answer to the question "What 2 square numbers subtract to make 4803?" is 643204 and 638401 as illustrated below:

643204 - 638401 = 4803

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 4803. Below we list alternate solutions if available.

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