What 2 square numbers subtract to make 2296?

What two square numbers subtract to make 2296? In other words, when you subtract one square number from another square number, the answer is 2296. 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 = 2296

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

55² - 27² = 2296

55² is 3025 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 2296?" is 3025 and 729 as illustrated below:

3025 - 729 = 2296

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 2296. Below we list alternate solutions if available.

7921 - 5625 = 2296
83521 - 81225 = 2296
330625 - 328329 = 2296

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