What 2 square numbers subtract to make 8340?

What two square numbers subtract to make 8340? In other words, when you subtract one square number from another square number, the answer is 8340. 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 = 8340

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

154² - 124² = 8340

154² is 23716 and 124² is 15376, therefore the answer to the question "What 2 square numbers subtract to make 8340?" is 23716 and 15376 as illustrated below:

23716 - 15376 = 8340

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 8340. Below we list alternate solutions if available.

178084 - 169744 = 8340
487204 - 478864 = 8340

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