What 2 square numbers subtract to make 4715?

What two square numbers subtract to make 4715? In other words, when you subtract one square number from another square number, the answer is 4715. 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 = 4715

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

78² - 37² = 4715

78² is 6084 and 37² is 1369, therefore the answer to the question "What 2 square numbers subtract to make 4715?" is 6084 and 1369 as illustrated below:

6084 - 1369 = 4715

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 4715. Below we list alternate solutions if available.

12996 - 8281 = 4715
224676 - 219961 = 4715

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