What 2 square numbers subtract to make 8175?

What two square numbers subtract to make 8175? In other words, when you subtract one square number from another square number, the answer is 8175. 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 = 8175

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

92² - 17² = 8175

92² is 8464 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 8175?" is 8464 and 289 as illustrated below:

8464 - 289 = 8175

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 8175. Below we list alternate solutions if available.

30976 - 22801 = 8175
78400 - 70225 = 8175
672400 - 664225 = 8175

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What 2 square numbers subtract to make 8176?
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