What 2 square numbers subtract to make 6395?

What two square numbers subtract to make 6395? In other words, when you subtract one square number from another square number, the answer is 6395. 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 = 6395

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

642² - 637² = 6395

642² is 412164 and 637² is 405769, therefore the answer to the question "What 2 square numbers subtract to make 6395?" is 412164 and 405769 as illustrated below:

412164 - 405769 = 6395

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 6395. Below we list alternate solutions if available.

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