What 2 square numbers subtract to make 9492?

What two square numbers subtract to make 9492? In other words, when you subtract one square number from another square number, the answer is 9492. 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 = 9492

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

134² - 92² = 9492

134² is 17956 and 92² is 8464, therefore the answer to the question "What 2 square numbers subtract to make 9492?" is 17956 and 8464 as illustrated below:

17956 - 8464 = 9492

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 9492. Below we list alternate solutions if available.

119716 - 110224 = 9492
630436 - 620944 = 9492

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