What 2 square numbers subtract to make 5172?

What two square numbers subtract to make 5172? In other words, when you subtract one square number from another square number, the answer is 5172. 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 = 5172

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

434² - 428² = 5172

434² is 188356 and 428² is 183184, therefore the answer to the question "What 2 square numbers subtract to make 5172?" is 188356 and 183184 as illustrated below:

188356 - 183184 = 5172

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 5172. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 5173?
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