What 2 square numbers subtract to make 6721?

What two square numbers subtract to make 6721? In other words, when you subtract one square number from another square number, the answer is 6721. 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 = 6721

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

95² - 48² = 6721

95² is 9025 and 48² is 2304, therefore the answer to the question "What 2 square numbers subtract to make 6721?" is 9025 and 2304 as illustrated below:

9025 - 2304 = 6721

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 6721. Below we list alternate solutions if available.

70225 - 63504 = 6721
96721 - 90000 = 6721

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