What 2 square numbers subtract to make 4071?


What two square numbers subtract to make 4071? In other words, when you subtract one square number from another square number, the answer is 4071. 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 = 4071

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

642 - 52 = 4071

642 is 4096 and 52 is 25, therefore the answer to the question "What 2 square numbers subtract to make 4071?" is 4096 and 25 as illustrated below:

4096 - 25 = 4071


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 4071. Below we list alternate solutions if available.

10000 - 5929 = 4071
462400 - 458329 = 4071

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