What 2 square numbers subtract to make 6363?

What two square numbers subtract to make 6363? In other words, when you subtract one square number from another square number, the answer is 6363. 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 = 6363

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

82² - 19² = 6363

82² is 6724 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 6363?" is 6724 and 361 as illustrated below:

6724 - 361 = 6363

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 6363. Below we list alternate solutions if available.

26244 - 19881 = 6363
128164 - 121801 = 6363
209764 - 203401 = 6363

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