Which of the following elements is an irrational number: $\left\{ - 2 , - \frac { 2 } { 9 } , .1 \overline { 5 } , \sqrt { 4 } , \sqrt { 6 } \right\}$
A) $\sqrt { 6 }$
B) $\sqrt { 4 }$
C) $1 \overline { 5 }$
D) -2

Question

Quizplus · Accepted Answer

An irrational number is a number that cannot be written as a ratio of two integers. Both $\sqrt{4}$ and $-2$ can be written as ratios of integers (2 and -2/1 respectively). $1\overline{5}$ can also be written as a ratio of integers (11/6). While $-\frac{2}{9}$ is not a ratio of integers, it is a rational number because it can be written as a fraction. The only remaining option is $\sqrt{6}$, which is irrational because it cannot be expressed as a ratio of integers.

Which of the Following Elements Is an Irrational Number {−2,−29,.15‾,4,6}\left\{ - 2 , - \frac { 2 } { 9 } , .1 \overline { 5 } , \sqrt { 4 } , \sqrt { 6 } \right\}{−2,−92​,.15,4​,6​}

Which of the Following Elements Is an Irrational Number $\left\{ - 2 , - \frac { 2 } { 9 } , .1 \overline { 5 } , \sqrt { 4 } , \sqrt { 6 } \right\}$