What 2 square numbers subtract to make 8283?

What two square numbers subtract to make 8283? In other words, when you subtract one square number from another square number, the answer is 8283. 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 = 8283

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

142² - 109² = 8283

142² is 20164 and 109² is 11881, therefore the answer to the question "What 2 square numbers subtract to make 8283?" is 20164 and 11881 as illustrated below:

20164 - 11881 = 8283

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 8283. Below we list alternate solutions if available.

145924 - 137641 = 8283

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