What 2 square numbers subtract to make 7837?

What two square numbers subtract to make 7837? In other words, when you subtract one square number from another square number, the answer is 7837. 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 = 7837

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

239² - 222² = 7837

239² is 57121 and 222² is 49284, therefore the answer to the question "What 2 square numbers subtract to make 7837?" is 57121 and 49284 as illustrated below:

57121 - 49284 = 7837

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 7837. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7838?
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