Which of the following is a rational number?
A. B. C. D. E.
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A rational number is a number that can be expressed in the form , where and are integers. It is a number whose decimal form is terminating or reccurring.
For example, = 0.88888888…. (8 is recurring) is a rational number.
2 = 2.0 (is terminating) is a rational number.
= 1.41421356….. (neither recurring or terminating) is not a rational number. Generally, the square root of a non-perfect square is irrational.
= 3.14159265…… (neither recurring nor terminating) is not a rational number.
Thus, from the given options,
A.) is not a rational number.
B.) = 3.14159265… – 4 = -1.14159265… is not a rational number.
C.) . 2 is a rational number.
D.) is not a rational number. 3 is not a perfect square, so is irrational.
E.) . 6 is not a perfect square, so is not a rational number.
Therefore, option C is the correct answer.