What 2 square numbers subtract to make 4781?

What two square numbers subtract to make 4781? In other words, when you subtract one square number from another square number, the answer is 4781. 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 = 4781

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

345² - 338² = 4781

345² is 119025 and 338² is 114244, therefore the answer to the question "What 2 square numbers subtract to make 4781?" is 119025 and 114244 as illustrated below:

119025 - 114244 = 4781

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 4781. Below we list alternate solutions if available.

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