What 2 square numbers subtract to make 1477?

What two square numbers subtract to make 1477? In other words, when you subtract one square number from another square number, the answer is 1477. 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 = 1477

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

109² - 102² = 1477

109² is 11881 and 102² is 10404, therefore the answer to the question "What 2 square numbers subtract to make 1477?" is 11881 and 10404 as illustrated below:

11881 - 10404 = 1477

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 1477. Below we list alternate solutions if available.

546121 - 544644 = 1477

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