What 2 square numbers subtract to make 9248?

What two square numbers subtract to make 9248? In other words, when you subtract one square number from another square number, the answer is 9248. 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 = 9248

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

102² - 34² = 9248

102² is 10404 and 34² is 1156, therefore the answer to the question "What 2 square numbers subtract to make 9248?" is 10404 and 1156 as illustrated below:

10404 - 1156 = 9248

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 9248. Below we list alternate solutions if available.

23409 - 14161 = 9248
88209 - 78961 = 9248
338724 - 329476 = 9248

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