What 2 square numbers subtract to make 6140?

What two square numbers subtract to make 6140? In other words, when you subtract one square number from another square number, the answer is 6140. 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 = 6140

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

312² - 302² = 6140

312² is 97344 and 302² is 91204, therefore the answer to the question "What 2 square numbers subtract to make 6140?" is 97344 and 91204 as illustrated below:

97344 - 91204 = 6140

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 6140. Below we list alternate solutions if available.

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