What 2 square numbers subtract to make 4208?

What two square numbers subtract to make 4208? In other words, when you subtract one square number from another square number, the answer is 4208. 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 = 4208

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

267² - 259² = 4208

267² is 71289 and 259² is 67081, therefore the answer to the question "What 2 square numbers subtract to make 4208?" is 71289 and 67081 as illustrated below:

71289 - 67081 = 4208

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 4208. Below we list alternate solutions if available.

278784 - 274576 = 4208

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