What 2 square numbers subtract to make 132?

What two square numbers subtract to make 132? In other words, when you subtract one square number from another square number, the answer is 132. 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 = 132

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

14² - 8² = 132

14² is 196 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 132?" is 196 and 64 as illustrated below:

196 - 64 = 132

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 132. Below we list alternate solutions if available.

1156 - 1024 = 132

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