What 2 square numbers subtract to make 1416?

What two square numbers subtract to make 1416? In other words, when you subtract one square number from another square number, the answer is 1416. 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 = 1416

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

65² - 53² = 1416

65² is 4225 and 53² is 2809, therefore the answer to the question "What 2 square numbers subtract to make 1416?" is 4225 and 2809 as illustrated below:

4225 - 2809 = 1416

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 1416. Below we list alternate solutions if available.

14641 - 13225 = 1416
32041 - 30625 = 1416
126025 - 124609 = 1416

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