What 2 square numbers subtract to make 5781?

What two square numbers subtract to make 5781? In other words, when you subtract one square number from another square number, the answer is 5781. 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 = 5781

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

85² - 38² = 5781

85² is 7225 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 5781?" is 7225 and 1444 as illustrated below:

7225 - 1444 = 5781

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 5781. Below we list alternate solutions if available.

8281 - 2500 = 5781
931225 - 925444 = 5781

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