What 2 square numbers subtract to make 6171?

What two square numbers subtract to make 6171? In other words, when you subtract one square number from another square number, the answer is 6171. 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 = 6171

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

86² - 35² = 6171

86² is 7396 and 35² is 1225, therefore the answer to the question "What 2 square numbers subtract to make 6171?" is 7396 and 1225 as illustrated below:

7396 - 1225 = 6171

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 6171. Below we list alternate solutions if available.

12100 - 5929 = 6171
36100 - 29929 = 6171
81796 - 75625 = 6171

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