What 2 square numbers subtract to make 6905?

What two square numbers subtract to make 6905? In other words, when you subtract one square number from another square number, the answer is 6905. 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 = 6905

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

693² - 688² = 6905

693² is 480249 and 688² is 473344, therefore the answer to the question "What 2 square numbers subtract to make 6905?" is 480249 and 473344 as illustrated below:

480249 - 473344 = 6905

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 6905. Below we list alternate solutions if available.

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