What 2 square numbers subtract to make 3416?

What two square numbers subtract to make 3416? In other words, when you subtract one square number from another square number, the answer is 3416. 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 = 3416

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

75² - 47² = 3416

75² is 5625 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 3416?" is 5625 and 2209 as illustrated below:

5625 - 2209 = 3416

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 3416. Below we list alternate solutions if available.

16641 - 13225 = 3416
184041 - 180625 = 3416
731025 - 727609 = 3416

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