What 2 square numbers subtract to make 2740?

What two square numbers subtract to make 2740? In other words, when you subtract one square number from another square number, the answer is 2740. 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 = 2740

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

142² - 132² = 2740

142² is 20164 and 132² is 17424, therefore the answer to the question "What 2 square numbers subtract to make 2740?" is 20164 and 17424 as illustrated below:

20164 - 17424 = 2740

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 2740. Below we list alternate solutions if available.

470596 - 467856 = 2740

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