What 2 square numbers subtract to make 447?

What two square numbers subtract to make 447? In other words, when you subtract one square number from another square number, the answer is 447. 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 = 447

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

76² - 73² = 447

76² is 5776 and 73² is 5329, therefore the answer to the question "What 2 square numbers subtract to make 447?" is 5776 and 5329 as illustrated below:

5776 - 5329 = 447

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 447. Below we list alternate solutions if available.

50176 - 49729 = 447

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