What 2 square numbers subtract to make 7783?

What two square numbers subtract to make 7783? In other words, when you subtract one square number from another square number, the answer is 7783. 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 = 7783

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

112² - 69² = 7783

112² is 12544 and 69² is 4761, therefore the answer to the question "What 2 square numbers subtract to make 7783?" is 12544 and 4761 as illustrated below:

12544 - 4761 = 7783

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 7783. Below we list alternate solutions if available.

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