What 2 square numbers subtract to make 6795?

What two square numbers subtract to make 6795? In other words, when you subtract one square number from another square number, the answer is 6795. 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 = 6795

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

98² - 53² = 6795

98² is 9604 and 53² is 2809, therefore the answer to the question "What 2 square numbers subtract to make 6795?" is 9604 and 2809 as illustrated below:

9604 - 2809 = 6795

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 6795. Below we list alternate solutions if available.

54756 - 47961 = 6795
145924 - 139129 = 6795
465124 - 458329 = 6795

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