What 2 square numbers subtract to make 6309?

What two square numbers subtract to make 6309? In other words, when you subtract one square number from another square number, the answer is 6309. 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 = 6309

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

355² - 346² = 6309

355² is 126025 and 346² is 119716, therefore the answer to the question "What 2 square numbers subtract to make 6309?" is 126025 and 119716 as illustrated below:

126025 - 119716 = 6309

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 6309. Below we list alternate solutions if available.

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