What 2 square numbers subtract to make 3411?

What two square numbers subtract to make 3411? In other words, when you subtract one square number from another square number, the answer is 3411. 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 = 3411

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

194² - 185² = 3411

194² is 37636 and 185² is 34225, therefore the answer to the question "What 2 square numbers subtract to make 3411?" is 37636 and 34225 as illustrated below:

37636 - 34225 = 3411

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 3411. Below we list alternate solutions if available.

324900 - 321489 = 3411

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