What 2 square numbers subtract to make 8195?

What two square numbers subtract to make 8195? In other words, when you subtract one square number from another square number, the answer is 8195. 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 = 8195

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

102² - 47² = 8195

102² is 10404 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 8195?" is 10404 and 2209 as illustrated below:

10404 - 2209 = 8195

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 8195. Below we list alternate solutions if available.

142884 - 134689 = 8195
675684 - 667489 = 8195

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