What 2 square numbers subtract to make 3292?

What two square numbers subtract to make 3292? In other words, when you subtract one square number from another square number, the answer is 3292. 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 = 3292

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

824² - 822² = 3292

824² is 678976 and 822² is 675684, therefore the answer to the question "What 2 square numbers subtract to make 3292?" is 678976 and 675684 as illustrated below:

678976 - 675684 = 3292

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 3292. Below we list alternate solutions if available.

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