What 2 square numbers subtract to make 7809?

What two square numbers subtract to make 7809? In other words, when you subtract one square number from another square number, the answer is 7809. 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 = 7809

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

97² - 40² = 7809

97² is 9409 and 40² is 1600, therefore the answer to the question "What 2 square numbers subtract to make 7809?" is 9409 and 1600 as illustrated below:

9409 - 1600 = 7809

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 7809. Below we list alternate solutions if available.

46225 - 38416 = 7809

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