What 2 square numbers subtract to make 8541?

What two square numbers subtract to make 8541? In other words, when you subtract one square number from another square number, the answer is 8541. 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 = 8541

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

95² - 22² = 8541

95² is 9025 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 8541?" is 9025 and 484 as illustrated below:

9025 - 484 = 8541

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 8541. Below we list alternate solutions if available.

16641 - 8100 = 8541
112225 - 103684 = 8541
229441 - 220900 = 8541

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