What 2 square numbers subtract to make 3132?

What two square numbers subtract to make 3132? In other words, when you subtract one square number from another square number, the answer is 3132. 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 = 3132

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

56² - 2² = 3132

56² is 3136 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 3132?" is 3136 and 4 as illustrated below:

3136 - 4 = 3132

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 3132. Below we list alternate solutions if available.

9216 - 6084 = 3132
69696 - 66564 = 3132
614656 - 611524 = 3132

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