What 2 square numbers subtract to make 2403?


What two square numbers subtract to make 2403? In other words, when you subtract one square number from another square number, the answer is 2403. 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 = 2403

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

582 - 312 = 2403

582 is 3364 and 312 is 961, therefore the answer to the question "What 2 square numbers subtract to make 2403?" is 3364 and 961 as illustrated below:

3364 - 961 = 2403


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 2403. Below we list alternate solutions if available.

19044 - 16641 = 2403
161604 - 159201 = 2403

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