Which of the following numbers is irrational? a fraction with numerator negative 15 and denominator 4, a fraction with numerator negative 7 and denominator 9, square root of 4, π a fraction with numerator negative 15 and denominator 4 a fraction with numerator negative 7 and denominator 9 square root of 4 π

2 answers
Question:

Which of the following numbers is irrational? a fraction with numerator negative 15 and denominator 4, a fraction with numerator negative 7 and denominator 9, square root of 4, π a fraction with numerator negative 15 and denominator 4 a fraction with numerator negative 7 and denominator 9 square root of 4 π

Answers

Pi is an irrational number

Answer:π is irrational.Step-by-step explanation:Since, a real number is called rational if it can be expressed as [tex]\frac{p}{q}[/tex],Where,p and q are integers,Such that, q ≠ 0,Otherwise, the real number is called irrational.Since, -15, 4, -7, 9 are integers,Such that, 4, 9 ≠ 0Thus,[tex]-\frac{15}{9}[/tex] and [tex]\frac{-7}{9}[/tex] are rational numbers ⇒ they are not irrational,Now, √4 = 2 = [tex]\frac{2}{1}[/tex]Where, 2 and 1 are integers such that 1 ≠ 0,Thus, √4 is not irrational,While,π = 3.14159265359....Which is a non terminating non recurring decimal,That is, it can not be expressed as [tex]\frac{p}{q}[/tex] where, p and q are integers such that q ≠ 0Hence, π is irrational.

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