What 2 square numbers subtract to make 6695?

What two square numbers subtract to make 6695? In other words, when you subtract one square number from another square number, the answer is 6695. 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 = 6695

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

84² - 19² = 6695

84² is 7056 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 6695?" is 7056 and 361 as illustrated below:

7056 - 361 = 6695

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 6695. Below we list alternate solutions if available.

69696 - 63001 = 6695
451584 - 444889 = 6695

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