What 2 square numbers subtract to make 1137?


What two square numbers subtract to make 1137? In other words, when you subtract one square number from another square number, the answer is 1137. 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 = 1137

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

1912 - 1882 = 1137

1912 is 36481 and 1882 is 35344, therefore the answer to the question "What 2 square numbers subtract to make 1137?" is 36481 and 35344 as illustrated below:

36481 - 35344 = 1137


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 1137. Below we list alternate solutions if available.

323761 - 322624 = 1137

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