What 2 square numbers subtract to make 3663?

What two square numbers subtract to make 3663? In other words, when you subtract one square number from another square number, the answer is 3663. 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 = 3663

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

68² - 31² = 3663

68² is 4624 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 3663?" is 4624 and 961 as illustrated below:

4624 - 961 = 3663

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 3663. Below we list alternate solutions if available.

5184 - 1521 = 3663
29584 - 25921 = 3663
43264 - 39601 = 3663

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