What 2 square numbers subtract to make 239?

What two square numbers subtract to make 239? In other words, when you subtract one square number from another square number, the answer is 239. 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 = 239

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

120² - 119² = 239

120² is 14400 and 119² is 14161, therefore the answer to the question "What 2 square numbers subtract to make 239?" is 14400 and 14161 as illustrated below:

14400 - 14161 = 239

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 239. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 240?
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