What 2 square numbers subtract to make 3905?

What two square numbers subtract to make 3905? In other words, when you subtract one square number from another square number, the answer is 3905. 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 = 3905

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

63² - 8² = 3905

63² is 3969 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 3905?" is 3969 and 64 as illustrated below:

3969 - 64 = 3905

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 3905. Below we list alternate solutions if available.

33489 - 29584 = 3905
154449 - 150544 = 3905

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