What 2 square numbers subtract to make 6215?

What two square numbers subtract to make 6215? In other words, when you subtract one square number from another square number, the answer is 6215. 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 = 6215

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

84² - 29² = 6215

84² is 7056 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 6215?" is 7056 and 841 as illustrated below:

7056 - 841 = 6215

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 6215. Below we list alternate solutions if available.

82944 - 76729 = 6215
389376 - 383161 = 6215

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