What 2 square numbers subtract to make 6345?

What two square numbers subtract to make 6345? In other words, when you subtract one square number from another square number, the answer is 6345. 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 = 6345

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

91² - 44² = 6345

91² is 8281 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 6345?" is 8281 and 1936 as illustrated below:

8281 - 1936 = 6345

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 6345. Below we list alternate solutions if available.

8649 - 2304 = 6345
17161 - 10816 = 6345
47961 - 41616 = 6345

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What 2 square numbers subtract to make 6346?
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