What 2 square numbers subtract to make 3056?

What two square numbers subtract to make 3056? In other words, when you subtract one square number from another square number, the answer is 3056. 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 = 3056

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

195² - 187² = 3056

195² is 38025 and 187² is 34969, therefore the answer to the question "What 2 square numbers subtract to make 3056?" is 38025 and 34969 as illustrated below:

38025 - 34969 = 3056

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 3056. Below we list alternate solutions if available.

147456 - 144400 = 3056
585225 - 582169 = 3056

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