What 2 square numbers subtract to make 8381?

What two square numbers subtract to make 8381? In other words, when you subtract one square number from another square number, the answer is 8381. 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 = 8381

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

159² - 130² = 8381

159² is 25281 and 130² is 16900, therefore the answer to the question "What 2 square numbers subtract to make 8381?" is 25281 and 16900 as illustrated below:

25281 - 16900 = 8381

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 8381. Below we list alternate solutions if available.

65025 - 56644 = 8381

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