What 2 square numbers subtract to make 211?

What two square numbers subtract to make 211? In other words, when you subtract one square number from another square number, the answer is 211. 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 = 211

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

106² - 105² = 211

106² is 11236 and 105² is 11025, therefore the answer to the question "What 2 square numbers subtract to make 211?" is 11236 and 11025 as illustrated below:

11236 - 11025 = 211

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 211. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 212?
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