What 2 square numbers subtract to make 1716?


What two square numbers subtract to make 1716? In other words, when you subtract one square number from another square number, the answer is 1716. 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 = 1716

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

462 - 202 = 1716

462 is 2116 and 202 is 400, therefore the answer to the question "What 2 square numbers subtract to make 1716?" is 2116 and 400 as illustrated below:

2116 - 400 = 1716


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 1716. Below we list alternate solutions if available.

2500 - 784 = 1716
21316 - 19600 = 1716
184900 - 183184 = 1716

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