What 2 square numbers subtract to make 3813?

What two square numbers subtract to make 3813? In other words, when you subtract one square number from another square number, the answer is 3813. 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 = 3813

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

67² - 26² = 3813

67² is 4489 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 3813?" is 4489 and 676 as illustrated below:

4489 - 676 = 3813

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 3813. Below we list alternate solutions if available.

5929 - 2116 = 3813
405769 - 401956 = 3813

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