What 2 square numbers subtract to make 840?

What two square numbers subtract to make 840? In other words, when you subtract one square number from another square number, the answer is 840. 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 = 840

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

29² - 1² = 840

29² is 841 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 840?" is 841 and 1 as illustrated below:

841 - 1 = 840

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 840. Below we list alternate solutions if available.

961 - 121 = 840
1369 - 529 = 840
1681 - 841 = 840

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What 2 square numbers subtract to make 841?
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