What 2 square numbers subtract to make 4620?

What two square numbers subtract to make 4620? In other words, when you subtract one square number from another square number, the answer is 4620. 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 = 4620

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

68² - 2² = 4620

68² is 4624 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 4620?" is 4624 and 4 as illustrated below:

4624 - 4 = 4620

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 4620. Below we list alternate solutions if available.

5776 - 1156 = 4620
8464 - 3844 = 4620
13456 - 8836 = 4620

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What 2 square numbers subtract to make 4621?
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