What 2 square numbers subtract to make 241?

What two square numbers subtract to make 241? In other words, when you subtract one square number from another square number, the answer is 241. 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 = 241

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

121² - 120² = 241

121² is 14641 and 120² is 14400, therefore the answer to the question "What 2 square numbers subtract to make 241?" is 14641 and 14400 as illustrated below:

14641 - 14400 = 241

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 241. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 242?
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