What 2 square numbers subtract to make 3405?

What two square numbers subtract to make 3405? In other words, when you subtract one square number from another square number, the answer is 3405. 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 = 3405

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

121² - 106² = 3405

121² is 14641 and 106² is 11236, therefore the answer to the question "What 2 square numbers subtract to make 3405?" is 14641 and 11236 as illustrated below:

14641 - 11236 = 3405

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 3405. Below we list alternate solutions if available.

117649 - 114244 = 3405
323761 - 320356 = 3405

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