What 2 square numbers subtract to make 4473?

What two square numbers subtract to make 4473? In other words, when you subtract one square number from another square number, the answer is 4473. 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 = 4473

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

67² - 4² = 4473

67² is 4489 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 4473?" is 4489 and 16 as illustrated below:

4489 - 16 = 4473

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 4473. Below we list alternate solutions if available.

13689 - 9216 = 4473
64009 - 59536 = 4473
104329 - 99856 = 4473

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