What 2 square numbers subtract to make 6685?

What two square numbers subtract to make 6685? In other words, when you subtract one square number from another square number, the answer is 6685. 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 = 6685

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

113² - 78² = 6685

113² is 12769 and 78² is 6084, therefore the answer to the question "What 2 square numbers subtract to make 6685?" is 12769 and 6084 as illustrated below:

12769 - 6084 = 6685

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 6685. Below we list alternate solutions if available.

231361 - 224676 = 6685
450241 - 443556 = 6685

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