What 2 square numbers subtract to make 1841?

What two square numbers subtract to make 1841? In other words, when you subtract one square number from another square number, the answer is 1841. 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 = 1841

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

135² - 128² = 1841

135² is 18225 and 128² is 16384, therefore the answer to the question "What 2 square numbers subtract to make 1841?" is 18225 and 16384 as illustrated below:

18225 - 16384 = 1841

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 1841. Below we list alternate solutions if available.

848241 - 846400 = 1841

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