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Is the following number rational or irrational?

pisqrt4
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational?\newlineπ4\pi\sqrt{4}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational

Full solution

Q. Is the following number rational or irrational?\newlineπ4\pi\sqrt{4}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
  1. Evaluate pi sqrt(44): Evaluate π4 \pi \sqrt{4} .\newlineπ4=π2 \pi \sqrt{4} = \pi \cdot 2
  2. Identify rational or irrational: Identify whether π2 \pi \cdot 2 is a rational or irrational number.\newlineSince π \pi is a well-known irrational number and multiplying an irrational number by a non-zero rational number (in this case, 22) results in an irrational number, π2 \pi \cdot 2 is irrational.

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