What 2 square numbers subtract to make 3801?


What two square numbers subtract to make 3801? In other words, when you subtract one square number from another square number, the answer is 3801. 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 = 3801

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

1012 - 802 = 3801

1012 is 10201 and 802 is 6400, therefore the answer to the question "What 2 square numbers subtract to make 3801?" is 10201 and 6400 as illustrated below:

10201 - 6400 = 3801


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 3801. Below we list alternate solutions if available.

75625 - 71824 = 3801
403225 - 399424 = 3801

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