What 2 square numbers subtract to make 1601?

What two square numbers subtract to make 1601? In other words, when you subtract one square number from another square number, the answer is 1601. 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 = 1601

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

801² - 800² = 1601

801² is 641601 and 800² is 640000, therefore the answer to the question "What 2 square numbers subtract to make 1601?" is 641601 and 640000 as illustrated below:

641601 - 640000 = 1601

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 1601. Below we list alternate solutions if available.

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