What 2 square numbers subtract to make 3796?

What two square numbers subtract to make 3796? In other words, when you subtract one square number from another square number, the answer is 3796. 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 = 3796

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

86² - 60² = 3796

86² is 7396 and 60² is 3600, therefore the answer to the question "What 2 square numbers subtract to make 3796?" is 7396 and 3600 as illustrated below:

7396 - 3600 = 3796

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 3796. Below we list alternate solutions if available.

902500 - 898704 = 3796

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