What 2 square numbers subtract to make 839?

What two square numbers subtract to make 839? In other words, when you subtract one square number from another square number, the answer is 839. 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 = 839

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

420² - 419² = 839

420² is 176400 and 419² is 175561, therefore the answer to the question "What 2 square numbers subtract to make 839?" is 176400 and 175561 as illustrated below:

176400 - 175561 = 839

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 839. Below we list alternate solutions if available.

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