What 2 square numbers subtract to make 3365?

What two square numbers subtract to make 3365? In other words, when you subtract one square number from another square number, the answer is 3365. 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 = 3365

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

339² - 334² = 3365

339² is 114921 and 334² is 111556, therefore the answer to the question "What 2 square numbers subtract to make 3365?" is 114921 and 111556 as illustrated below:

114921 - 111556 = 3365

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 3365. Below we list alternate solutions if available.

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