What 2 square numbers subtract to make 6544?

What two square numbers subtract to make 6544? In other words, when you subtract one square number from another square number, the answer is 6544. 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 = 6544

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

413² - 405² = 6544

413² is 170569 and 405² is 164025, therefore the answer to the question "What 2 square numbers subtract to make 6544?" is 170569 and 164025 as illustrated below:

170569 - 164025 = 6544

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 6544. Below we list alternate solutions if available.

672400 - 665856 = 6544

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