What 2 square numbers subtract to make 4011?

What two square numbers subtract to make 4011? In other words, when you subtract one square number from another square number, the answer is 4011. 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 = 4011

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

106² - 85² = 4011

106² is 11236 and 85² is 7225, therefore the answer to the question "What 2 square numbers subtract to make 4011?" is 11236 and 7225 as illustrated below:

11236 - 7225 = 4011

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 4011. Below we list alternate solutions if available.

84100 - 80089 = 4011
448900 - 444889 = 4011

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