What 2 square numbers subtract to make 3460?

What two square numbers subtract to make 3460? In other words, when you subtract one square number from another square number, the answer is 3460. 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 = 3460

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

178² - 168² = 3460

178² is 31684 and 168² is 28224, therefore the answer to the question "What 2 square numbers subtract to make 3460?" is 31684 and 28224 as illustrated below:

31684 - 28224 = 3460

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 3460. Below we list alternate solutions if available.

749956 - 746496 = 3460

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