What 2 square numbers subtract to make 5905?

What two square numbers subtract to make 5905? In other words, when you subtract one square number from another square number, the answer is 5905. 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 = 5905

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

593² - 588² = 5905

593² is 351649 and 588² is 345744, therefore the answer to the question "What 2 square numbers subtract to make 5905?" is 351649 and 345744 as illustrated below:

351649 - 345744 = 5905

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 5905. Below we list alternate solutions if available.

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