What 2 square numbers subtract to make 2715?

What two square numbers subtract to make 2715? In other words, when you subtract one square number from another square number, the answer is 2715. 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 = 2715

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

98² - 83² = 2715

98² is 9604 and 83² is 6889, therefore the answer to the question "What 2 square numbers subtract to make 2715?" is 9604 and 6889 as illustrated below:

9604 - 6889 = 2715

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 2715. Below we list alternate solutions if available.

75076 - 72361 = 2715
206116 - 203401 = 2715

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