What 2 square numbers subtract to make 6340?

What two square numbers subtract to make 6340? In other words, when you subtract one square number from another square number, the answer is 6340. 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 = 6340

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

322² - 312² = 6340

322² is 103684 and 312² is 97344, therefore the answer to the question "What 2 square numbers subtract to make 6340?" is 103684 and 97344 as illustrated below:

103684 - 97344 = 6340

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 6340. Below we list alternate solutions if available.

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