What 2 square numbers subtract to make 4347?

What two square numbers subtract to make 4347? In other words, when you subtract one square number from another square number, the answer is 4347. 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 = 4347

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

66² - 3² = 4347

66² is 4356 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 4347?" is 4356 and 9 as illustrated below:

4356 - 9 = 4347

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 4347. Below we list alternate solutions if available.

8836 - 4489 = 4347
11236 - 6889 = 4347
12996 - 8649 = 4347

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What 2 square numbers subtract to make 4348?
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