What 2 square numbers subtract to make 4635?

What two square numbers subtract to make 4635? In other words, when you subtract one square number from another square number, the answer is 4635. 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 = 4635

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

74² - 29² = 4635

74² is 5476 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 4635?" is 5476 and 841 as illustrated below:

5476 - 841 = 4635

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 4635. Below we list alternate solutions if available.

26244 - 21609 = 4635
68644 - 64009 = 4635
217156 - 212521 = 4635

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