What 2 square numbers subtract to make 2201?

What two square numbers subtract to make 2201? In other words, when you subtract one square number from another square number, the answer is 2201. 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 = 2201

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

51² - 20² = 2201

51² is 2601 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 2201?" is 2601 and 400 as illustrated below:

2601 - 400 = 2201

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 2201. Below we list alternate solutions if available.

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