What 2 square numbers subtract to make 4215?

What two square numbers subtract to make 4215? In other words, when you subtract one square number from another square number, the answer is 4215. 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 = 4215

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

148² - 133² = 4215

148² is 21904 and 133² is 17689, therefore the answer to the question "What 2 square numbers subtract to make 4215?" is 21904 and 17689 as illustrated below:

21904 - 17689 = 4215

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 4215. Below we list alternate solutions if available.

179776 - 175561 = 4215
495616 - 491401 = 4215

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