What 2 square numbers subtract to make 7745?

What two square numbers subtract to make 7745? In other words, when you subtract one square number from another square number, the answer is 7745. 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 = 7745

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

777² - 772² = 7745

777² is 603729 and 772² is 595984, therefore the answer to the question "What 2 square numbers subtract to make 7745?" is 603729 and 595984 as illustrated below:

603729 - 595984 = 7745

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 7745. Below we list alternate solutions if available.

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