What 2 square numbers subtract to make 7856?

What two square numbers subtract to make 7856? In other words, when you subtract one square number from another square number, the answer is 7856. 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 = 7856

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

495² - 487² = 7856

495² is 245025 and 487² is 237169, therefore the answer to the question "What 2 square numbers subtract to make 7856?" is 245025 and 237169 as illustrated below:

245025 - 237169 = 7856

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 7856. Below we list alternate solutions if available.

968256 - 960400 = 7856

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