What 2 square numbers subtract to make 396?

What two square numbers subtract to make 396? In other words, when you subtract one square number from another square number, the answer is 396. 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 = 396

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

20² - 2² = 396

20² is 400 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 396?" is 400 and 4 as illustrated below:

400 - 4 = 396

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 396. Below we list alternate solutions if available.

1296 - 900 = 396
10000 - 9604 = 396

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