What 2 square numbers subtract to make 79?

What two square numbers subtract to make 79? In other words, when you subtract one square number from another square number, the answer is 79. 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 = 79

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

40² - 39² = 79

40² is 1600 and 39² is 1521, therefore the answer to the question "What 2 square numbers subtract to make 79?" is 1600 and 1521 as illustrated below:

1600 - 1521 = 79

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 79. Below we list alternate solutions if available.

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