What 2 square numbers subtract to make 3805?

What two square numbers subtract to make 3805? In other words, when you subtract one square number from another square number, the answer is 3805. 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 = 3805

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

383² - 378² = 3805

383² is 146689 and 378² is 142884, therefore the answer to the question "What 2 square numbers subtract to make 3805?" is 146689 and 142884 as illustrated below:

146689 - 142884 = 3805

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 3805. Below we list alternate solutions if available.

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