What 2 square numbers subtract to make 7633?


What two square numbers subtract to make 7633? In other words, when you subtract one square number from another square number, the answer is 7633. 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 = 7633

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

2332 - 2162 = 7633

2332 is 54289 and 2162 is 46656, therefore the answer to the question "What 2 square numbers subtract to make 7633?" is 54289 and 46656 as illustrated below:

54289 - 46656 = 7633


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 7633. Below we list alternate solutions if available.

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