What 2 square numbers subtract to make 7160?

What two square numbers subtract to make 7160? In other words, when you subtract one square number from another square number, the answer is 7160. 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 = 7160

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

189² - 169² = 7160

189² is 35721 and 169² is 28561, therefore the answer to the question "What 2 square numbers subtract to make 7160?" is 35721 and 28561 as illustrated below:

35721 - 28561 = 7160

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 7160. Below we list alternate solutions if available.

131769 - 124609 = 7160
804609 - 797449 = 7160

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