What 2 square numbers subtract to make 4760?

What two square numbers subtract to make 4760? In other words, when you subtract one square number from another square number, the answer is 4760. 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 = 4760

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

69² - 1² = 4760

69² is 4761 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 4760?" is 4761 and 1 as illustrated below:

4761 - 1 = 4760

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 4760. Below we list alternate solutions if available.

7569 - 2809 = 4760
9801 - 5041 = 4760
16641 - 11881 = 4760

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What 2 square numbers subtract to make 4761?
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