What 2 square numbers subtract to make 471?

What two square numbers subtract to make 471? In other words, when you subtract one square number from another square number, the answer is 471. 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 = 471

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

80² - 77² = 471

80² is 6400 and 77² is 5929, therefore the answer to the question "What 2 square numbers subtract to make 471?" is 6400 and 5929 as illustrated below:

6400 - 5929 = 471

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 471. Below we list alternate solutions if available.

55696 - 55225 = 471

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