What 2 square numbers subtract to make 7072?

What two square numbers subtract to make 7072? In other words, when you subtract one square number from another square number, the answer is 7072. 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 = 7072

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

86² - 18² = 7072

86² is 7396 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 7072?" is 7396 and 324 as illustrated below:

7396 - 324 = 7072

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 7072. Below we list alternate solutions if available.

8836 - 1764 = 7072
14641 - 7569 = 7072
22201 - 15129 = 7072

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