Mathematics

Problem

Set

S=\{\sqrt{9},\;\sqrt{2},\;0.\overline{3},\;\tfrac{22}{7}\}

. Which option lists the rational and irrational numbers in

S

correctly? a) Rational:

\{\sqrt{9},\,\tfrac{22}{7}\}

; Irrational:

\{\sqrt{2},\,0.\overline{3}\}

b) Rational:

\{\sqrt{9},\,0.\overline{3}\}

; Irrational:

\{\sqrt{2},\,\tfrac{22}{7}\}

c) Rational:

\{\sqrt{9},\,0.\overline{3},\,\tfrac{22}{7}\}

; Irrational:

\{\sqrt{2}\}

d) Rational:

\{\sqrt{9},\,0.\overline{3},\,\sqrt{2}\}

; Irrational:

\{\tfrac{22}{7}\}