What 2 square numbers subtract to make 7320?

What two square numbers subtract to make 7320? In other words, when you subtract one square number from another square number, the answer is 7320. 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 = 7320

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

91² - 31² = 7320

91² is 8281 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 7320?" is 8281 and 961 as illustrated below:

8281 - 961 = 7320

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 7320. Below we list alternate solutions if available.

18769 - 11449 = 7320
37249 - 29929 = 7320
96721 - 89401 = 7320

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