What 2 square numbers subtract to make 5760?


What two square numbers subtract to make 5760? In other words, when you subtract one square number from another square number, the answer is 5760. 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 = 5760

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

762 - 42 = 5760

762 is 5776 and 42 is 16, therefore the answer to the question "What 2 square numbers subtract to make 5760?" is 5776 and 16 as illustrated below:

5776 - 16 = 5760


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 5760. Below we list alternate solutions if available.

5929 - 169 = 5760
6084 - 324 = 5760
7056 - 1296 = 5760

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