What 2 square numbers subtract to make 1579?

What two square numbers subtract to make 1579? In other words, when you subtract one square number from another square number, the answer is 1579. 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 = 1579

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

790² - 789² = 1579

790² is 624100 and 789² is 622521, therefore the answer to the question "What 2 square numbers subtract to make 1579?" is 624100 and 622521 as illustrated below:

624100 - 622521 = 1579

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 1579. Below we list alternate solutions if available.

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