What 2 square numbers subtract to make 6531?

What two square numbers subtract to make 6531? In other words, when you subtract one square number from another square number, the answer is 6531. 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 = 6531

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

166² - 145² = 6531

166² is 27556 and 145² is 21025, therefore the answer to the question "What 2 square numbers subtract to make 6531?" is 27556 and 21025 as illustrated below:

27556 - 21025 = 6531

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 6531. Below we list alternate solutions if available.

220900 - 214369 = 6531

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