What 2 square numbers subtract to make 1592?

What two square numbers subtract to make 1592? In other words, when you subtract one square number from another square number, the answer is 1592. 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 = 1592

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

201² - 197² = 1592

201² is 40401 and 197² is 38809, therefore the answer to the question "What 2 square numbers subtract to make 1592?" is 40401 and 38809 as illustrated below:

40401 - 38809 = 1592

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 1592. Below we list alternate solutions if available.

159201 - 157609 = 1592

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