What 2 square numbers subtract to make 3201?

What two square numbers subtract to make 3201? In other words, when you subtract one square number from another square number, the answer is 3201. 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 = 3201

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

65² - 32² = 3201

65² is 4225 and 32² is 1024, therefore the answer to the question "What 2 square numbers subtract to make 3201?" is 4225 and 1024 as illustrated below:

4225 - 1024 = 3201

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 3201. Below we list alternate solutions if available.

22801 - 19600 = 3201
286225 - 283024 = 3201

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