What 2 square numbers subtract to make 1585?

What two square numbers subtract to make 1585? In other words, when you subtract one square number from another square number, the answer is 1585. 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 = 1585

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

161² - 156² = 1585

161² is 25921 and 156² is 24336, therefore the answer to the question "What 2 square numbers subtract to make 1585?" is 25921 and 24336 as illustrated below:

25921 - 24336 = 1585

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 1585. Below we list alternate solutions if available.

628849 - 627264 = 1585

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