What 2 square numbers subtract to make 5175?

What two square numbers subtract to make 5175? In other words, when you subtract one square number from another square number, the answer is 5175. 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 = 5175

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

72² - 3² = 5175

72² is 5184 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 5175?" is 5184 and 9 as illustrated below:

5184 - 9 = 5175

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 5175. Below we list alternate solutions if available.

6400 - 1225 = 5175
13456 - 8281 = 5175
15376 - 10201 = 5175

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What 2 square numbers subtract to make 5176?
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