What 2 square numbers subtract to make 3812?

What two square numbers subtract to make 3812? In other words, when you subtract one square number from another square number, the answer is 3812. 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 = 3812

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

954² - 952² = 3812

954² is 910116 and 952² is 906304, therefore the answer to the question "What 2 square numbers subtract to make 3812?" is 910116 and 906304 as illustrated below:

910116 - 906304 = 3812

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 3812. Below we list alternate solutions if available.

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