What 2 square numbers subtract to make 2164?


What two square numbers subtract to make 2164? In other words, when you subtract one square number from another square number, the answer is 2164. 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 = 2164

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

5422 - 5402 = 2164

5422 is 293764 and 5402 is 291600, therefore the answer to the question "What 2 square numbers subtract to make 2164?" is 293764 and 291600 as illustrated below:

293764 - 291600 = 2164


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 2164. Below we list alternate solutions if available.

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