What 2 square numbers subtract to make 6623?

What two square numbers subtract to make 6623? In other words, when you subtract one square number from another square number, the answer is 6623. 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 = 6623

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

108² - 71² = 6623

108² is 11664 and 71² is 5041, therefore the answer to the question "What 2 square numbers subtract to make 6623?" is 11664 and 5041 as illustrated below:

11664 - 5041 = 6623

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 6623. Below we list alternate solutions if available.

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