What 2 square numbers subtract to make 2936?

What two square numbers subtract to make 2936? In other words, when you subtract one square number from another square number, the answer is 2936. 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 = 2936

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

369² - 365² = 2936

369² is 136161 and 365² is 133225, therefore the answer to the question "What 2 square numbers subtract to make 2936?" is 136161 and 133225 as illustrated below:

136161 - 133225 = 2936

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 2936. Below we list alternate solutions if available.

540225 - 537289 = 2936

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