What 2 square numbers subtract to make 473?

What two square numbers subtract to make 473? In other words, when you subtract one square number from another square number, the answer is 473. 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 = 473

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

27² - 16² = 473

27² is 729 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 473?" is 729 and 256 as illustrated below:

729 - 256 = 473

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 473. Below we list alternate solutions if available.

56169 - 55696 = 473

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