What 2 square numbers subtract to make 6749?

What two square numbers subtract to make 6749? In other words, when you subtract one square number from another square number, the answer is 6749. 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 = 6749

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

207² - 190² = 6749

207² is 42849 and 190² is 36100, therefore the answer to the question "What 2 square numbers subtract to make 6749?" is 42849 and 36100 as illustrated below:

42849 - 36100 = 6749

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 6749. Below we list alternate solutions if available.

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