What 2 square numbers subtract to make 8360?

What two square numbers subtract to make 8360? In other words, when you subtract one square number from another square number, the answer is 8360. 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 = 8360

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

93² - 17² = 8360

93² is 8649 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 8360?" is 8649 and 289 as illustrated below:

8649 - 289 = 8360

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 8360. Below we list alternate solutions if available.

13689 - 5329 = 8360
16641 - 8281 = 8360
40401 - 32041 = 8360

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