What 2 square numbers subtract to make 7136?

What two square numbers subtract to make 7136? In other words, when you subtract one square number from another square number, the answer is 7136. 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 = 7136

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

231² - 215² = 7136

231² is 53361 and 215² is 46225, therefore the answer to the question "What 2 square numbers subtract to make 7136?" is 53361 and 46225 as illustrated below:

53361 - 46225 = 7136

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 7136. Below we list alternate solutions if available.

202500 - 195364 = 7136
799236 - 792100 = 7136

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