What 2 square numbers subtract to make 5295?

What two square numbers subtract to make 5295? In other words, when you subtract one square number from another square number, the answer is 5295. 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 = 5295

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

184² - 169² = 5295

184² is 33856 and 169² is 28561, therefore the answer to the question "What 2 square numbers subtract to make 5295?" is 33856 and 28561 as illustrated below:

33856 - 28561 = 5295

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 5295. Below we list alternate solutions if available.

283024 - 277729 = 5295
781456 - 776161 = 5295

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