What 2 square numbers subtract to make 4140?

What two square numbers subtract to make 4140? In other words, when you subtract one square number from another square number, the answer is 4140. 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 = 4140

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

68² - 22² = 4140

68² is 4624 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 4140?" is 4624 and 484 as illustrated below:

4624 - 484 = 4140

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 4140. Below we list alternate solutions if available.

7056 - 2916 = 4140
15376 - 11236 = 4140
44944 - 40804 = 4140

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