What 2 square numbers subtract to make 1737?


What two square numbers subtract to make 1737? In other words, when you subtract one square number from another square number, the answer is 1737. 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 = 1737

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

1012 - 922 = 1737

1012 is 10201 and 922 is 8464, therefore the answer to the question "What 2 square numbers subtract to make 1737?" is 10201 and 8464 as illustrated below:

10201 - 8464 = 1737


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 1737. Below we list alternate solutions if available.

84681 - 82944 = 1737
755161 - 753424 = 1737

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