What 2 square numbers subtract to make 3995?

What two square numbers subtract to make 3995? In other words, when you subtract one square number from another square number, the answer is 3995. 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 = 3995

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

66² - 19² = 3995

66² is 4356 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 3995?" is 4356 and 361 as illustrated below:

4356 - 361 = 3995

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 3995. Below we list alternate solutions if available.

15876 - 11881 = 3995
161604 - 157609 = 3995

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