What 2 square numbers subtract to make 1091?

What two square numbers subtract to make 1091? In other words, when you subtract one square number from another square number, the answer is 1091. 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 = 1091

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

546² - 545² = 1091

546² is 298116 and 545² is 297025, therefore the answer to the question "What 2 square numbers subtract to make 1091?" is 298116 and 297025 as illustrated below:

298116 - 297025 = 1091

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 1091. Below we list alternate solutions if available.

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