What 2 square numbers subtract to make 2541?

What two square numbers subtract to make 2541? In other words, when you subtract one square number from another square number, the answer is 2541. 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 = 2541

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

55² - 22² = 2541

55² is 3025 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 2541?" is 3025 and 484 as illustrated below:

3025 - 484 = 2541

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 2541. Below we list alternate solutions if available.

5041 - 2500 = 2541
14641 - 12100 = 2541
34225 - 31684 = 2541

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