What 2 square numbers subtract to make 3536?

What two square numbers subtract to make 3536? In other words, when you subtract one square number from another square number, the answer is 3536. 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 = 3536

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

60² - 8² = 3536

60² is 3600 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 3536?" is 3600 and 64 as illustrated below:

3600 - 64 = 3536

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 3536. Below we list alternate solutions if available.

4761 - 1225 = 3536
6561 - 3025 = 3536
50625 - 47089 = 3536

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