What 2 square numbers subtract to make 6181?

What two square numbers subtract to make 6181? In other words, when you subtract one square number from another square number, the answer is 6181. 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 = 6181

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

445² - 438² = 6181

445² is 198025 and 438² is 191844, therefore the answer to the question "What 2 square numbers subtract to make 6181?" is 198025 and 191844 as illustrated below:

198025 - 191844 = 6181

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 6181. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 6182?
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