What 2 square numbers subtract to make 1635?

What two square numbers subtract to make 1635? In other words, when you subtract one square number from another square number, the answer is 1635. 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 = 1635

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

62² - 47² = 1635

62² is 3844 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 1635?" is 3844 and 2209 as illustrated below:

3844 - 2209 = 1635

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 1635. Below we list alternate solutions if available.

27556 - 25921 = 1635
75076 - 73441 = 1635
669124 - 667489 = 1635

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