?Determining whether a number is a perfect square is not as hard as it might at first

Chapter 10, Problem 67

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Determining whether a number is a perfect square is not as hard as it might at first seem. For instance, suppose we wanted to know whether the number 648 is a perfect square. Do you see why the square root of 648 must be between 20 and 30? Can you think of an easy way to check whether 648 can possibly be a perfect square? [Hint: Think about the possible final digit a perfect square can have.] Is 648 a perfect square?

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