What 2 square numbers subtract to make 6072?

What two square numbers subtract to make 6072? In other words, when you subtract one square number from another square number, the answer is 6072. 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 = 6072

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

79² - 13² = 6072

79² is 6241 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 6072?" is 6241 and 169 as illustrated below:

6241 - 169 = 6072

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 6072. Below we list alternate solutions if available.

7921 - 1849 = 6072
8281 - 2209 = 6072
22201 - 16129 = 6072

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