What 2 square numbers subtract to make 3820?

What two square numbers subtract to make 3820? In other words, when you subtract one square number from another square number, the answer is 3820. 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 = 3820

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

196² - 186² = 3820

196² is 38416 and 186² is 34596, therefore the answer to the question "What 2 square numbers subtract to make 3820?" is 38416 and 34596 as illustrated below:

38416 - 34596 = 3820

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 3820. Below we list alternate solutions if available.

913936 - 910116 = 3820

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