What 2 square numbers subtract to make 7960?

What two square numbers subtract to make 7960? In other words, when you subtract one square number from another square number, the answer is 7960. 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 = 7960

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

209² - 189² = 7960

209² is 43681 and 189² is 35721, therefore the answer to the question "What 2 square numbers subtract to make 7960?" is 43681 and 35721 as illustrated below:

43681 - 35721 = 7960

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 7960. Below we list alternate solutions if available.

162409 - 154449 = 7960
994009 - 986049 = 7960

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