What 2 square numbers subtract to make 3684?

What two square numbers subtract to make 3684? In other words, when you subtract one square number from another square number, the answer is 3684. 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 = 3684

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

310² - 304² = 3684

310² is 96100 and 304² is 92416, therefore the answer to the question "What 2 square numbers subtract to make 3684?" is 96100 and 92416 as illustrated below:

96100 - 92416 = 3684

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 3684. Below we list alternate solutions if available.

850084 - 846400 = 3684

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