What 2 square numbers subtract to make 841?

What two square numbers subtract to make 841? In other words, when you subtract one square number from another square number, the answer is 841. 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 = 841

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

421² - 420² = 841

421² is 177241 and 420² is 176400, therefore the answer to the question "What 2 square numbers subtract to make 841?" is 177241 and 176400 as illustrated below:

177241 - 176400 = 841

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 841. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 842?
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