What 2 square numbers subtract to make 3836?

What two square numbers subtract to make 3836? In other words, when you subtract one square number from another square number, the answer is 3836. 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 = 3836

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

144² - 130² = 3836

144² is 20736 and 130² is 16900, therefore the answer to the question "What 2 square numbers subtract to make 3836?" is 20736 and 16900 as illustrated below:

20736 - 16900 = 3836

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 3836. Below we list alternate solutions if available.

921600 - 917764 = 3836

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