What 2 square numbers subtract to make 663?

What two square numbers subtract to make 663? In other words, when you subtract one square number from another square number, the answer is 663. 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 = 663

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

28² - 11² = 663

28² is 784 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 663?" is 784 and 121 as illustrated below:

784 - 121 = 663

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 663. Below we list alternate solutions if available.

1024 - 361 = 663
12544 - 11881 = 663
110224 - 109561 = 663

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