What 2 square numbers subtract to make 3353?


What two square numbers subtract to make 3353? In other words, when you subtract one square number from another square number, the answer is 3353. 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 = 3353

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

2432 - 2362 = 3353

2432 is 59049 and 2362 is 55696, therefore the answer to the question "What 2 square numbers subtract to make 3353?" is 59049 and 55696 as illustrated below:

59049 - 55696 = 3353


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 3353. Below we list alternate solutions if available.

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