What 2 square numbers subtract to make 8176?

What two square numbers subtract to make 8176? In other words, when you subtract one square number from another square number, the answer is 8176. 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 = 8176

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

101² - 45² = 8176

101² is 10201 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 8176?" is 10201 and 2025 as illustrated below:

10201 - 2025 = 8176

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 8176. Below we list alternate solutions if available.

25600 - 17424 = 8176
89401 - 81225 = 8176
265225 - 257049 = 8176

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