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Is the following number rational or irrational?

-3+pi
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational?\newline3+π-3+\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational

Full solution

Q. Is the following number rational or irrational?\newline3+π-3+\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
  1. Evaluate 3+π-3 + \pi: Evaluate 3+π-3 + \pi.\newline3+π-3 + \pi is a combination of a rational number (3-3) and an irrational number (π\pi).
  2. Identify number type: Identify whether π\pi is a rational or irrational number.π\pi (π\pi) is a well-known irrational number, which means it cannot be expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating.
  3. Determine sum nature: Determine the nature of the sum of a rational and an irrational number.\newlineThe sum of a rational number and an irrational number is always irrational.
  4. Conclude number type: Conclude whether 3+π-3 + \pi is rational or irrational.\newlineSince π\pi is irrational, the sum 3+π-3 + \pi is also irrational.

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