What 2 square numbers subtract to make 1347?

What two square numbers subtract to make 1347? In other words, when you subtract one square number from another square number, the answer is 1347. 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 = 1347

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

226² - 223² = 1347

226² is 51076 and 223² is 49729, therefore the answer to the question "What 2 square numbers subtract to make 1347?" is 51076 and 49729 as illustrated below:

51076 - 49729 = 1347

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 1347. Below we list alternate solutions if available.

454276 - 452929 = 1347

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