What 2 square numbers subtract to make 495?

What two square numbers subtract to make 495? In other words, when you subtract one square number from another square number, the answer is 495. 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 = 495

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

24² - 9² = 495

24² is 576 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 495?" is 576 and 81 as illustrated below:

576 - 81 = 495

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 495. Below we list alternate solutions if available.

784 - 289 = 495
1024 - 529 = 495
2704 - 2209 = 495

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