What 2 square numbers subtract to make 1209?

What two square numbers subtract to make 1209? In other words, when you subtract one square number from another square number, the answer is 1209. 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 = 1209

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

35² - 4² = 1209

35² is 1225 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 1209?" is 1225 and 16 as illustrated below:

1225 - 16 = 1209

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 1209. Below we list alternate solutions if available.

2809 - 1600 = 1209
41209 - 40000 = 1209
366025 - 364816 = 1209

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