What 2 square numbers subtract to make 1096?

What two square numbers subtract to make 1096? In other words, when you subtract one square number from another square number, the answer is 1096. 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 = 1096

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

139² - 135² = 1096

139² is 19321 and 135² is 18225, therefore the answer to the question "What 2 square numbers subtract to make 1096?" is 19321 and 18225 as illustrated below:

19321 - 18225 = 1096

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 1096. Below we list alternate solutions if available.

75625 - 74529 = 1096

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