What 2 square numbers subtract to make 1669?

What two square numbers subtract to make 1669? In other words, when you subtract one square number from another square number, the answer is 1669. 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 = 1669

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

835² - 834² = 1669

835² is 697225 and 834² is 695556, therefore the answer to the question "What 2 square numbers subtract to make 1669?" is 697225 and 695556 as illustrated below:

697225 - 695556 = 1669

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 1669. Below we list alternate solutions if available.

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