What 2 square numbers subtract to make 1421?

What two square numbers subtract to make 1421? In other words, when you subtract one square number from another square number, the answer is 1421. 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 = 1421

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

39² - 10² = 1421

39² is 1521 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 1421?" is 1521 and 100 as illustrated below:

1521 - 100 = 1421

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 1421. Below we list alternate solutions if available.

11025 - 9604 = 1421
505521 - 504100 = 1421

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