What 2 square numbers subtract to make 4905?

What two square numbers subtract to make 4905? In other words, when you subtract one square number from another square number, the answer is 4905. 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 = 4905

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

77² - 32² = 4905

77² is 5929 and 32² is 1024, therefore the answer to the question "What 2 square numbers subtract to make 4905?" is 5929 and 1024 as illustrated below:

5929 - 1024 = 4905

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 4905. Below we list alternate solutions if available.

29241 - 24336 = 4905
76729 - 71824 = 4905
243049 - 238144 = 4905

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