What 2 square numbers subtract to make 3140?


What two square numbers subtract to make 3140? In other words, when you subtract one square number from another square number, the answer is 3140. 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 = 3140

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

1622 - 1522 = 3140

1622 is 26244 and 1522 is 23104, therefore the answer to the question "What 2 square numbers subtract to make 3140?" is 26244 and 23104 as illustrated below:

26244 - 23104 = 3140


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 3140. Below we list alternate solutions if available.

617796 - 614656 = 3140

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