What 2 square numbers subtract to make 3136?

What two square numbers subtract to make 3136? In other words, when you subtract one square number from another square number, the answer is 3136. 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 = 3136

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

65² - 33² = 3136

65² is 4225 and 33² is 1089, therefore the answer to the question "What 2 square numbers subtract to make 3136?" is 4225 and 1089 as illustrated below:

4225 - 1089 = 3136

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 3136. Below we list alternate solutions if available.

4900 - 1764 = 3136
11236 - 8100 = 3136
14161 - 11025 = 3136

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