What 2 square numbers subtract to make 6752?


What two square numbers subtract to make 6752? In other words, when you subtract one square number from another square number, the answer is 6752. 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 = 6752

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

2192 - 2032 = 6752

2192 is 47961 and 2032 is 41209, therefore the answer to the question "What 2 square numbers subtract to make 6752?" is 47961 and 41209 as illustrated below:

47961 - 41209 = 6752


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 6752. Below we list alternate solutions if available.

181476 - 174724 = 6752
715716 - 708964 = 6752

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