What 2 square numbers subtract to make 2781?

What two square numbers subtract to make 2781? In other words, when you subtract one square number from another square number, the answer is 2781. 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 = 2781

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

65² - 38² = 2781

65² is 4225 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 2781?" is 4225 and 1444 as illustrated below:

4225 - 1444 = 2781

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 2781. Below we list alternate solutions if available.

25281 - 22500 = 2781
216225 - 213444 = 2781

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