What 2 square numbers subtract to make 1221?

What two square numbers subtract to make 1221? In other words, when you subtract one square number from another square number, the answer is 1221. 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 = 1221

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

35² - 2² = 1221

35² is 1225 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 1221?" is 1225 and 4 as illustrated below:

1225 - 4 = 1221

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 1221. Below we list alternate solutions if available.

3721 - 2500 = 1221
42025 - 40804 = 1221
373321 - 372100 = 1221

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