What 2 square numbers subtract to make 3141?

What two square numbers subtract to make 3141? In other words, when you subtract one square number from another square number, the answer is 3141. 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 = 3141

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

179² - 170² = 3141

179² is 32041 and 170² is 28900, therefore the answer to the question "What 2 square numbers subtract to make 3141?" is 32041 and 28900 as illustrated below:

32041 - 28900 = 3141

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 3141. Below we list alternate solutions if available.

275625 - 272484 = 3141

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