What 2 square numbers subtract to make 4275?

What two square numbers subtract to make 4275? In other words, when you subtract one square number from another square number, the answer is 4275. 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 = 4275

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

66² - 9² = 4275

66² is 4356 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 4275?" is 4356 and 81 as illustrated below:

4356 - 81 = 4275

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 4275. Below we list alternate solutions if available.

4900 - 625 = 4275
9604 - 5329 = 4275
14884 - 10609 = 4275

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What 2 square numbers subtract to make 4276?
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