What 2 square numbers subtract to make 1801?

What two square numbers subtract to make 1801? In other words, when you subtract one square number from another square number, the answer is 1801. 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 = 1801

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

901² - 900² = 1801

901² is 811801 and 900² is 810000, therefore the answer to the question "What 2 square numbers subtract to make 1801?" is 811801 and 810000 as illustrated below:

811801 - 810000 = 1801

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 1801. Below we list alternate solutions if available.

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