What 2 square numbers subtract to make 349?

What two square numbers subtract to make 349? In other words, when you subtract one square number from another square number, the answer is 349. 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 = 349

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

175² - 174² = 349

175² is 30625 and 174² is 30276, therefore the answer to the question "What 2 square numbers subtract to make 349?" is 30625 and 30276 as illustrated below:

30625 - 30276 = 349

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 349. Below we list alternate solutions if available.

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