What 2 square numbers subtract to make 8091?

What two square numbers subtract to make 8091? In other words, when you subtract one square number from another square number, the answer is 8091. 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 = 8091

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

90² - 3² = 8091

90² is 8100 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 8091?" is 8100 and 9 as illustrated below:

8100 - 9 = 8091

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 8091. Below we list alternate solutions if available.

21316 - 13225 = 8091
23716 - 15625 = 8091
206116 - 198025 = 8091

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