What 2 square numbers subtract to make 7340?

What two square numbers subtract to make 7340? In other words, when you subtract one square number from another square number, the answer is 7340. 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 = 7340

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

372² - 362² = 7340

372² is 138384 and 362² is 131044, therefore the answer to the question "What 2 square numbers subtract to make 7340?" is 138384 and 131044 as illustrated below:

138384 - 131044 = 7340

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 7340. Below we list alternate solutions if available.

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