What 2 square numbers subtract to make 215?

What two square numbers subtract to make 215? In other words, when you subtract one square number from another square number, the answer is 215. 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 = 215

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

24² - 19² = 215

24² is 576 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 215?" is 576 and 361 as illustrated below:

576 - 361 = 215

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 215. Below we list alternate solutions if available.

11664 - 11449 = 215

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