What 2 square numbers subtract to make 5235?

What two square numbers subtract to make 5235? In other words, when you subtract one square number from another square number, the answer is 5235. 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 = 5235

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

182² - 167² = 5235

182² is 33124 and 167² is 27889, therefore the answer to the question "What 2 square numbers subtract to make 5235?" is 33124 and 27889 as illustrated below:

33124 - 27889 = 5235

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 5235. Below we list alternate solutions if available.

276676 - 271441 = 5235
763876 - 758641 = 5235

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What 2 square numbers subtract to make 5236?
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