What 2 square numbers subtract to make 2416?

What two square numbers subtract to make 2416? In other words, when you subtract one square number from another square number, the answer is 2416. 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 = 2416

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

155² - 147² = 2416

155² is 24025 and 147² is 21609, therefore the answer to the question "What 2 square numbers subtract to make 2416?" is 24025 and 21609 as illustrated below:

24025 - 21609 = 2416

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 2416. Below we list alternate solutions if available.

92416 - 90000 = 2416
366025 - 363609 = 2416

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