What 2 square numbers subtract to make 2544?

What two square numbers subtract to make 2544? In other words, when you subtract one square number from another square number, the answer is 2544. 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 = 2544

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

65² - 41² = 2544

65² is 4225 and 41² is 1681, therefore the answer to the question "What 2 square numbers subtract to make 2544?" is 4225 and 1681 as illustrated below:

4225 - 1681 = 2544

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 2544. Below we list alternate solutions if available.

12544 - 10000 = 2544
26569 - 24025 = 2544
46225 - 43681 = 2544

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