What 2 square numbers subtract to make 4991?

What two square numbers subtract to make 4991? In other words, when you subtract one square number from another square number, the answer is 4991. 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 = 4991

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

96² - 65² = 4991

96² is 9216 and 65² is 4225, therefore the answer to the question "What 2 square numbers subtract to make 4991?" is 9216 and 4225 as illustrated below:

9216 - 4225 = 4991

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 4991. Below we list alternate solutions if available.

14400 - 9409 = 4991
129600 - 124609 = 4991

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