What 2 square numbers subtract to make 8769?

What two square numbers subtract to make 8769? In other words, when you subtract one square number from another square number, the answer is 8769. 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 = 8769

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

95² - 16² = 8769

95² is 9025 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 8769?" is 9025 and 256 as illustrated below:

9025 - 256 = 8769

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 8769. Below we list alternate solutions if available.

18769 - 10000 = 8769

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