What 2 square numbers subtract to make 7635?

What two square numbers subtract to make 7635? In other words, when you subtract one square number from another square number, the answer is 7635. 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 = 7635

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

262² - 247² = 7635

262² is 68644 and 247² is 61009, therefore the answer to the question "What 2 square numbers subtract to make 7635?" is 68644 and 61009 as illustrated below:

68644 - 61009 = 7635

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 7635. Below we list alternate solutions if available.

586756 - 579121 = 7635

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