What 2 square numbers subtract to make 6672?

What two square numbers subtract to make 6672? In other words, when you subtract one square number from another square number, the answer is 6672. 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 = 6672

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

151² - 127² = 6672

151² is 22801 and 127² is 16129, therefore the answer to the question "What 2 square numbers subtract to make 6672?" is 22801 and 16129 as illustrated below:

22801 - 16129 = 6672

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 6672. Below we list alternate solutions if available.

80656 - 73984 = 6672
177241 - 170569 = 6672
312481 - 305809 = 6672

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