What 2 square numbers subtract to make 2095?

What two square numbers subtract to make 2095? In other words, when you subtract one square number from another square number, the answer is 2095. 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 = 2095

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

212² - 207² = 2095

212² is 44944 and 207² is 42849, therefore the answer to the question "What 2 square numbers subtract to make 2095?" is 44944 and 42849 as illustrated below:

44944 - 42849 = 2095

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 2095. Below we list alternate solutions if available.

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