What 2 square numbers subtract to make 3496?

What two square numbers subtract to make 3496? In other words, when you subtract one square number from another square number, the answer is 3496. 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 = 3496

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

61² - 15² = 3496

61² is 3721 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 3496?" is 3721 and 225 as illustrated below:

3721 - 225 = 3496

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 3496. Below we list alternate solutions if available.

4225 - 729 = 3496
192721 - 189225 = 3496
765625 - 762129 = 3496

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