What 2 square numbers subtract to make 401?

What two square numbers subtract to make 401? In other words, when you subtract one square number from another square number, the answer is 401. 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 = 401

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

201² - 200² = 401

201² is 40401 and 200² is 40000, therefore the answer to the question "What 2 square numbers subtract to make 401?" is 40401 and 40000 as illustrated below:

40401 - 40000 = 401

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 401. Below we list alternate solutions if available.

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