What 2 square numbers subtract to make 8375?

What two square numbers subtract to make 8375? In other words, when you subtract one square number from another square number, the answer is 8375. 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 = 8375

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

96² - 29² = 8375

96² is 9216 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 8375?" is 9216 and 841 as illustrated below:

9216 - 841 = 8375

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 8375. Below we list alternate solutions if available.

32400 - 24025 = 8375
705600 - 697225 = 8375

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