What 2 square numbers subtract to make 720?

What two square numbers subtract to make 720? In other words, when you subtract one square number from another square number, the answer is 720. 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 = 720

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

27² - 3² = 720

27² is 729 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 720?" is 729 and 9 as illustrated below:

729 - 9 = 720

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 720. Below we list alternate solutions if available.

784 - 64 = 720
841 - 121 = 720
1296 - 576 = 720

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What 2 square numbers subtract to make 721?
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