What 2 square numbers subtract to make 8395?

What two square numbers subtract to make 8395? In other words, when you subtract one square number from another square number, the answer is 8395. 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 = 8395

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

94² - 21² = 8395

94² is 8836 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 8395?" is 8836 and 441 as illustrated below:

8836 - 441 = 8395

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 8395. Below we list alternate solutions if available.

37636 - 29241 = 8395
708964 - 700569 = 8395

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What 2 square numbers subtract to make 8396?
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