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Which of the following is an irrational number?\newlineChoices:\newline(A) 35\frac{3}{5}\newline(B) 13\frac{1}{3}\newline(C) βˆ’3-3\newline(D) Ο€\pi

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Q. Which of the following is an irrational number?\newlineChoices:\newline(A) 35\frac{3}{5}\newline(B) 13\frac{1}{3}\newline(C) βˆ’3-3\newline(D) Ο€\pi
  1. Convert to Decimal: Step 11: Analyze option AA 35\frac{3}{5}.35\frac{3}{5} is a fraction that can be expressed as a decimal that terminates (0.60.6).
  2. Fraction Analysis: Step 22: Analyze option BB 13\frac{1}{3}.13\frac{1}{3} is a fraction that results in a repeating decimal (0.333…0.333\ldots).
  3. Integer Analysis: Step 33: Analyze option CC –3–3.\newline–3–3 is an integer, and all integers are rational numbers because they can be expressed as a fraction –31\frac{–3}{1}.
  4. Irrational Number: Step 44: Analyze option (D)Ο€(D) \pi.Ο€\pi (Pi) is known to be an irrational number because it cannot be expressed as a fraction and its decimal representation is non-terminating and non-repeating.

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