What 2 square numbers subtract to make 3535?

What two square numbers subtract to make 3535? In other words, when you subtract one square number from another square number, the answer is 3535. 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 = 3535

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

68² - 33² = 3535

68² is 4624 and 33² is 1089, therefore the answer to the question "What 2 square numbers subtract to make 3535?" is 4624 and 1089 as illustrated below:

4624 - 1089 = 3535

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 3535. Below we list alternate solutions if available.

65536 - 62001 = 3535
126736 - 123201 = 3535

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