Which of the following real numbers is NOT irrational (i.e., is rational)?
Hint 1: Understand that a number is rational (not irrational) if it simplifies to an integer or a simple fraction.
Hint 2: Simplify the square root of 4.
Hint 3: Since , which is an integer, it is rational. This is at option index 0.
Step 1 (Define rational and irrational):
A real number is rational if it can be written in the form where and are integers and .
A real number is irrational if it cannot be written in that form.
Step 2 (Analyze the square roots):
are square roots of prime numbers (which are not perfect squares). They are well-known to be irrational numbers.
is the square root of a perfect square ():
Since , it is a rational number, meaning it is NOT irrational.
Step 3 (Conclusion): The number is rational, so it is not irrational. This corresponds to option index 0.
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