What 2 square numbers subtract to make 2096?

What two square numbers subtract to make 2096? In other words, when you subtract one square number from another square number, the answer is 2096. 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 = 2096

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

135² - 127² = 2096

135² is 18225 and 127² is 16129, therefore the answer to the question "What 2 square numbers subtract to make 2096?" is 18225 and 16129 as illustrated below:

18225 - 16129 = 2096

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 2096. Below we list alternate solutions if available.

69696 - 67600 = 2096
275625 - 273529 = 2096

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