What 2 square numbers subtract to make 6972?

What two square numbers subtract to make 6972? In other words, when you subtract one square number from another square number, the answer is 6972. 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 = 6972

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

104² - 62² = 6972

104² is 10816 and 62² is 3844, therefore the answer to the question "What 2 square numbers subtract to make 6972?" is 10816 and 3844 as illustrated below:

10816 - 3844 = 6972

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 6972. Below we list alternate solutions if available.

65536 - 58564 = 6972
341056 - 334084 = 6972

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