What 2 square numbers subtract to make 4105?

What two square numbers subtract to make 4105? In other words, when you subtract one square number from another square number, the answer is 4105. 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 = 4105

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

413² - 408² = 4105

413² is 170569 and 408² is 166464, therefore the answer to the question "What 2 square numbers subtract to make 4105?" is 170569 and 166464 as illustrated below:

170569 - 166464 = 4105

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 4105. Below we list alternate solutions if available.

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