What 2 square numbers subtract to make 1791?

What two square numbers subtract to make 1791? In other words, when you subtract one square number from another square number, the answer is 1791. 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 = 1791

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

104² - 95² = 1791

104² is 10816 and 95² is 9025, therefore the answer to the question "What 2 square numbers subtract to make 1791?" is 10816 and 9025 as illustrated below:

10816 - 9025 = 1791

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 1791. Below we list alternate solutions if available.

90000 - 88209 = 1791
802816 - 801025 = 1791

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