What 2 square numbers subtract to make 983?

What two square numbers subtract to make 983? In other words, when you subtract one square number from another square number, the answer is 983. 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 = 983

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

492² - 491² = 983

492² is 242064 and 491² is 241081, therefore the answer to the question "What 2 square numbers subtract to make 983?" is 242064 and 241081 as illustrated below:

242064 - 241081 = 983

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 983. Below we list alternate solutions if available.

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