What 2 square numbers subtract to make 5835?

What two square numbers subtract to make 5835? In other words, when you subtract one square number from another square number, the answer is 5835. 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 = 5835

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

202² - 187² = 5835

202² is 40804 and 187² is 34969, therefore the answer to the question "What 2 square numbers subtract to make 5835?" is 40804 and 34969 as illustrated below:

40804 - 34969 = 5835

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 5835. Below we list alternate solutions if available.

343396 - 337561 = 5835
948676 - 942841 = 5835

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