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Is the following number rational or irrational? -11 pi Choose 1 answer: (A) Rational (B) Irrational

Is the following number rational or irrational?\newline−11π-11\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational

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Full solution

Q. Is the following number rational or irrational?\newline−11π-11\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
  1. Evaluate −11π-11 \pi: Evaluate −11π-11 \pi. Recognize that π\pi is a well-known irrational number.
  2. Recognize irrational number: Understand that any non-zero rational number multiplied by an irrational number results in an irrational number.
  3. Understand rational multiplied by irrational: Since −11-11 is a non-zero rational number and π\pi is an irrational number, their product −11π-11 \pi is also irrational.

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