What 2 square numbers subtract to make 6156?

What two square numbers subtract to make 6156? In other words, when you subtract one square number from another square number, the answer is 6156. 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 = 6156

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

84² - 30² = 6156

84² is 7056 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 6156?" is 7056 and 900 as illustrated below:

7056 - 900 = 6156

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 6156. Below we list alternate solutions if available.

10000 - 3844 = 6156
32400 - 26244 = 6156
266256 - 260100 = 6156

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