What 2 square numbers subtract to make 5185?

What two square numbers subtract to make 5185? In other words, when you subtract one square number from another square number, the answer is 5185. 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 = 5185

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

73² - 12² = 5185

73² is 5329 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 5185?" is 5329 and 144 as illustrated below:

5329 - 144 = 5185

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 5185. Below we list alternate solutions if available.

25921 - 20736 = 5185
271441 - 266256 = 5185

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