What 2 square numbers subtract to make 4640?

What two square numbers subtract to make 4640? In other words, when you subtract one square number from another square number, the answer is 4640. 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 = 4640

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

69² - 11² = 4640

69² is 4761 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 4640?" is 4761 and 121 as illustrated below:

4761 - 121 = 4640

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 4640. Below we list alternate solutions if available.

6084 - 1444 = 4640
15876 - 11236 = 4640
23409 - 18769 = 4640

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What 2 square numbers subtract to make 4641?
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