What 2 square numbers subtract to make 4827?

What two square numbers subtract to make 4827? In other words, when you subtract one square number from another square number, the answer is 4827. 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 = 4827

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

806² - 803² = 4827

806² is 649636 and 803² is 644809, therefore the answer to the question "What 2 square numbers subtract to make 4827?" is 649636 and 644809 as illustrated below:

649636 - 644809 = 4827

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 4827. Below we list alternate solutions if available.

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