What 2 square numbers subtract to make 8469?

What two square numbers subtract to make 8469? In other words, when you subtract one square number from another square number, the answer is 8469. 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 = 8469

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

475² - 466² = 8469

475² is 225625 and 466² is 217156, therefore the answer to the question "What 2 square numbers subtract to make 8469?" is 225625 and 217156 as illustrated below:

225625 - 217156 = 8469

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 8469. Below we list alternate solutions if available.

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