What 2 square numbers subtract to make 3059?

What two square numbers subtract to make 3059? In other words, when you subtract one square number from another square number, the answer is 3059. 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 = 3059

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

78² - 55² = 3059

78² is 6084 and 55² is 3025, therefore the answer to the question "What 2 square numbers subtract to make 3059?" is 6084 and 3025 as illustrated below:

6084 - 3025 = 3059

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 3059. Below we list alternate solutions if available.

8100 - 5041 = 3059
49284 - 46225 = 3059

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