What 2 square numbers subtract to make 3845?

What two square numbers subtract to make 3845? In other words, when you subtract one square number from another square number, the answer is 3845. 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 = 3845

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

387² - 382² = 3845

387² is 149769 and 382² is 145924, therefore the answer to the question "What 2 square numbers subtract to make 3845?" is 149769 and 145924 as illustrated below:

149769 - 145924 = 3845

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 3845. Below we list alternate solutions if available.

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