What 2 square numbers subtract to make 441?

What two square numbers subtract to make 441? In other words, when you subtract one square number from another square number, the answer is 441. 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 = 441

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

29² - 20² = 441

29² is 841 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 441?" is 841 and 400 as illustrated below:

841 - 400 = 441

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 441. Below we list alternate solutions if available.

1225 - 784 = 441
5625 - 5184 = 441
48841 - 48400 = 441

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