What 2 square numbers subtract to make 1697?

What two square numbers subtract to make 1697? In other words, when you subtract one square number from another square number, the answer is 1697. 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 = 1697

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

849² - 848² = 1697

849² is 720801 and 848² is 719104, therefore the answer to the question "What 2 square numbers subtract to make 1697?" is 720801 and 719104 as illustrated below:

720801 - 719104 = 1697

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 1697. Below we list alternate solutions if available.

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