What 2 square numbers subtract to make 4821?

What two square numbers subtract to make 4821? In other words, when you subtract one square number from another square number, the answer is 4821. 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 = 4821

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

805² - 802² = 4821

805² is 648025 and 802² is 643204, therefore the answer to the question "What 2 square numbers subtract to make 4821?" is 648025 and 643204 as illustrated below:

648025 - 643204 = 4821

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 4821. Below we list alternate solutions if available.

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