What 2 square numbers subtract to make 9840?

What two square numbers subtract to make 9840? In other words, when you subtract one square number from another square number, the answer is 9840. 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 = 9840

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

101² - 19² = 9840

101² is 10201 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 9840?" is 10201 and 361 as illustrated below:

10201 - 361 = 9840

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 9840. Below we list alternate solutions if available.

12544 - 2704 = 9840
20449 - 10609 = 9840
32041 - 22201 = 9840

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