What 2 square numbers subtract to make 4767?

What two square numbers subtract to make 4767? In other words, when you subtract one square number from another square number, the answer is 4767. 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 = 4767

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

124² - 103² = 4767

124² is 15376 and 103² is 10609, therefore the answer to the question "What 2 square numbers subtract to make 4767?" is 15376 and 10609 as illustrated below:

15376 - 10609 = 4767

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 4767. Below we list alternate solutions if available.

118336 - 113569 = 4767
633616 - 628849 = 4767

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