List the elements of $\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 5 } , 4 , \pi , 4.45,9,17 . \overline { 6 } \right\}$ that belong to the set of irrational numbers.
A) $- 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1,4,4.45,9,17 . \overline { 6 }$
B) $\sqrt { 5 } , \pi$
C) $\sqrt { 5 }$
D) $- 3,0,1,4,9$
E) $- 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 5 } , 4 , \pi , 4.45,9,17 . \overline { 6 }$

Question

Quizplus · Accepted Answer

An irrational number is a real number that cannot be expressed as a ratio of integers. Therefore, $\sqrt{5}$ and $\pi$ are the only elements of the given set that belong to the set of irrational numbers.

List the Elements Of {−3,−83,0,23,1,5,4,π,4.45,9,17.6‾}\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 5 } , 4 , \pi , 4.45,9,17 . \overline { 6 } \right\}{−3,−38​,0,32​,1,5​,4,π,4.45,9,17.6}

List the Elements Of $\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 5 } , 4 , \pi , 4.45,9,17 . \overline { 6 } \right\}$