What 2 square numbers subtract to make 8485?

What two square numbers subtract to make 8485? In other words, when you subtract one square number from another square number, the answer is 8485. 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 = 8485

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

851² - 846² = 8485

851² is 724201 and 846² is 715716, therefore the answer to the question "What 2 square numbers subtract to make 8485?" is 724201 and 715716 as illustrated below:

724201 - 715716 = 8485

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 8485. Below we list alternate solutions if available.

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