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Is the following number rational or irrational?

(pi)/(2)
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational?\newlineπ2\frac{\pi}{2}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational

Full solution

Q. Is the following number rational or irrational?\newlineπ2\frac{\pi}{2}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
  1. Understanding Pi: Evaluate the nature of pi.\newlinePi (π\pi) is a well-known mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number because it cannot be expressed as a fraction of two integers. Pi has an infinite number of non-repeating decimals.
  2. Dividing Pi by 22: Determine the nature of (π)/(2)(\pi)/(2).\newlineSince π\pi is irrational, dividing it by 22, which is a rational number, does not change its nature. The quotient of an irrational number and a non-zero rational number is always irrational.
  3. Nature of (Π2):</b>Concludewhether$π2(\frac{\Pi}{2}):</b> Conclude whether \$\frac{\pi}{2} is rational or irrational.\newlineπ2\frac{\pi}{2} is an irrational number because the division of an irrational number by a non-zero rational number results in an irrational number.

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