What 2 square numbers subtract to make 1208?

What two square numbers subtract to make 1208? In other words, when you subtract one square number from another square number, the answer is 1208. 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 = 1208

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

153² - 149² = 1208

153² is 23409 and 149² is 22201, therefore the answer to the question "What 2 square numbers subtract to make 1208?" is 23409 and 22201 as illustrated below:

23409 - 22201 = 1208

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 1208. Below we list alternate solutions if available.

91809 - 90601 = 1208

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