What 2 square numbers subtract to make 4641?

What two square numbers subtract to make 4641? In other words, when you subtract one square number from another square number, the answer is 4641. 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 = 4641

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

71² - 20² = 4641

71² is 5041 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 4641?" is 5041 and 400 as illustrated below:

5041 - 400 = 4641

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 4641. Below we list alternate solutions if available.

6241 - 1600 = 4641
14641 - 10000 = 4641
21025 - 16384 = 4641

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