What 2 square numbers subtract to make 347?

What two square numbers subtract to make 347? In other words, when you subtract one square number from another square number, the answer is 347. 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 = 347

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

174² - 173² = 347

174² is 30276 and 173² is 29929, therefore the answer to the question "What 2 square numbers subtract to make 347?" is 30276 and 29929 as illustrated below:

30276 - 29929 = 347

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 347. Below we list alternate solutions if available.

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