What 2 square numbers subtract to make 9595?

What two square numbers subtract to make 9595? In other words, when you subtract one square number from another square number, the answer is 9595. 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 = 9595

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

98² - 3² = 9595

98² is 9604 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 9595?" is 9604 and 9 as illustrated below:

9604 - 9 = 9595

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 9595. Below we list alternate solutions if available.

68644 - 59049 = 9595
925444 - 915849 = 9595

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