What 2 square numbers subtract to make 7695?

What two square numbers subtract to make 7695? In other words, when you subtract one square number from another square number, the answer is 7695. 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 = 7695

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

88² - 7² = 7695

88² is 7744 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 7695?" is 7744 and 49 as illustrated below:

7744 - 49 = 7695

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 7695. Below we list alternate solutions if available.

9216 - 1521 = 7695
11664 - 3969 = 7695
24336 - 16641 = 7695

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