What 2 square numbers subtract to make 8460?

What two square numbers subtract to make 8460? In other words, when you subtract one square number from another square number, the answer is 8460. 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 = 8460

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

92² - 2² = 8460

92² is 8464 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 8460?" is 8464 and 4 as illustrated below:

8464 - 4 = 8460

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 8460. Below we list alternate solutions if available.

24336 - 15876 = 8460
59536 - 51076 = 8460
183184 - 174724 = 8460

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