What 2 square numbers subtract to make 4212?

What two square numbers subtract to make 4212? In other words, when you subtract one square number from another square number, the answer is 4212. 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 = 4212

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

66² - 12² = 4212

66² is 4356 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 4212?" is 4356 and 144 as illustrated below:

4356 - 144 = 4212

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 4212. Below we list alternate solutions if available.

8836 - 4624 = 4212
15876 - 11664 = 4212
125316 - 121104 = 4212

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