What 2 square numbers subtract to make 1709?

What two square numbers subtract to make 1709? In other words, when you subtract one square number from another square number, the answer is 1709. 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 = 1709

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

855² - 854² = 1709

855² is 731025 and 854² is 729316, therefore the answer to the question "What 2 square numbers subtract to make 1709?" is 731025 and 729316 as illustrated below:

731025 - 729316 = 1709

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 1709. Below we list alternate solutions if available.

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