What 2 square numbers subtract to make 6095?

What two square numbers subtract to make 6095? In other words, when you subtract one square number from another square number, the answer is 6095. 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 = 6095

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

84² - 31² = 6095

84² is 7056 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 6095?" is 7056 and 961 as illustrated below:

7056 - 961 = 6095

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 6095. Below we list alternate solutions if available.

20736 - 14641 = 6095
374544 - 368449 = 6095

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