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Which of the following is a rational number?\newlineChoices:\newline(A)​π\pi\newline(B)47\frac{4}{7}\newline(C)10\sqrt{10}\newline(D)3\sqrt{3}

Full solution

Q. Which of the following is a rational number?\newlineChoices:\newline(A)​π\pi\newline(B)47\frac{4}{7}\newline(C)10\sqrt{10}\newline(D)3\sqrt{3}
  1. Identify Rational Numbers: Identify the rational numbers among the choices. A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
  2. Check Choices: Check each choice:\newline(A) Ο€\pi is an irrational number, known for being a non-repeating, non-terminating decimal.\newline(B) 47\frac{4}{7} is a fraction with integers in both the numerator and denominator.\newline(C) 10\sqrt{10} is an irrational number, as 1010 is not a perfect square.\newline(D) 3\sqrt{3} is also an irrational number, as 33 is not a perfect square.
  3. Final Rational Number: From the checks, only choice (B) 47\frac{4}{7} is a rational number.

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