What 2 square numbers subtract to make 7760?

What two square numbers subtract to make 7760? In other words, when you subtract one square number from another square number, the answer is 7760. 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 = 7760

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

117² - 77² = 7760

117² is 13689 and 77² is 5929, therefore the answer to the question "What 2 square numbers subtract to make 7760?" is 13689 and 5929 as illustrated below:

13689 - 5929 = 7760

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 7760. Below we list alternate solutions if available.

41616 - 33856 = 7760
154449 - 146689 = 7760
239121 - 231361 = 7760

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