What 2 square numbers subtract to make 9948?

What two square numbers subtract to make 9948? In other words, when you subtract one square number from another square number, the answer is 9948. 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 = 9948

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

832² - 826² = 9948

832² is 692224 and 826² is 682276, therefore the answer to the question "What 2 square numbers subtract to make 9948?" is 692224 and 682276 as illustrated below:

692224 - 682276 = 9948

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 9948. Below we list alternate solutions if available.

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