What 2 square numbers subtract to make 760?

What two square numbers subtract to make 760? In other words, when you subtract one square number from another square number, the answer is 760. 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 = 760

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

29² - 9² = 760

29² is 841 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 760?" is 841 and 81 as illustrated below:

841 - 81 = 760

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 760. Below we list alternate solutions if available.

1849 - 1089 = 760
9409 - 8649 = 760
36481 - 35721 = 760

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