What 2 square numbers subtract to make 2408?

What two square numbers subtract to make 2408? In other words, when you subtract one square number from another square number, the answer is 2408. 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 = 2408

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

57² - 29² = 2408

57² is 3249 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 2408?" is 3249 and 841 as illustrated below:

3249 - 841 = 2408

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 2408. Below we list alternate solutions if available.

8649 - 6241 = 2408
91809 - 89401 = 2408
363609 - 361201 = 2408

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