What 2 square numbers subtract to make 3497?

What two square numbers subtract to make 3497? In other words, when you subtract one square number from another square number, the answer is 3497. 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 = 3497

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

141² - 128² = 3497

141² is 19881 and 128² is 16384, therefore the answer to the question "What 2 square numbers subtract to make 3497?" is 19881 and 16384 as illustrated below:

19881 - 16384 = 3497

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 3497. Below we list alternate solutions if available.

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