What 2 square numbers subtract to make 2349?

What two square numbers subtract to make 2349? In other words, when you subtract one square number from another square number, the answer is 2349. 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 = 2349

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

55² - 26² = 2349

55² is 3025 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 2349?" is 3025 and 676 as illustrated below:

3025 - 676 = 2349

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 2349. Below we list alternate solutions if available.

3249 - 900 = 2349
18225 - 15876 = 2349
154449 - 152100 = 2349

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