What 2 square numbers subtract to make 8740?

What two square numbers subtract to make 8740? In other words, when you subtract one square number from another square number, the answer is 8740. 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 = 8740

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

118² - 72² = 8740

118² is 13924 and 72² is 5184, therefore the answer to the question "What 2 square numbers subtract to make 8740?" is 13924 and 5184 as illustrated below:

13924 - 5184 = 8740

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 8740. Below we list alternate solutions if available.

17956 - 9216 = 8740
195364 - 186624 = 8740

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