What 2 square numbers subtract to make 809?

What two square numbers subtract to make 809? In other words, when you subtract one square number from another square number, the answer is 809. 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 = 809

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

405² - 404² = 809

405² is 164025 and 404² is 163216, therefore the answer to the question "What 2 square numbers subtract to make 809?" is 164025 and 163216 as illustrated below:

164025 - 163216 = 809

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 809. Below we list alternate solutions if available.

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