What 2 square numbers subtract to make 7805?

What two square numbers subtract to make 7805? In other words, when you subtract one square number from another square number, the answer is 7805. 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 = 7805

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

129² - 94² = 7805

129² is 16641 and 94² is 8836, therefore the answer to the question "What 2 square numbers subtract to make 7805?" is 16641 and 8836 as illustrated below:

16641 - 8836 = 7805

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 7805. Below we list alternate solutions if available.

314721 - 306916 = 7805
613089 - 605284 = 7805

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