What 2 square numbers subtract to make 1840?


What two square numbers subtract to make 1840? In other words, when you subtract one square number from another square number, the answer is 1840. 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 = 1840

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

432 - 32 = 1840

432 is 1849 and 32 is 9, therefore the answer to the question "What 2 square numbers subtract to make 1840?" is 1849 and 9 as illustrated below:

1849 - 9 = 1840


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 1840. Below we list alternate solutions if available.

3136 - 1296 = 1840
9409 - 7569 = 1840
14161 - 12321 = 1840

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