What 2 square numbers subtract to make 4837?

What two square numbers subtract to make 4837? In other words, when you subtract one square number from another square number, the answer is 4837. 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 = 4837

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

349² - 342² = 4837

349² is 121801 and 342² is 116964, therefore the answer to the question "What 2 square numbers subtract to make 4837?" is 121801 and 116964 as illustrated below:

121801 - 116964 = 4837

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 4837. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 4838?
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