What 2 square numbers subtract to make 364?

What two square numbers subtract to make 364? In other words, when you subtract one square number from another square number, the answer is 364. 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 = 364

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

20² - 6² = 364

20² is 400 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 364?" is 400 and 36 as illustrated below:

400 - 36 = 364

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 364. Below we list alternate solutions if available.

8464 - 8100 = 364

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