List the numbers in the given set that belong to the indicated set.
-Given $\left\{ 4 , \sqrt { 6 } , - 18,0 , \frac { 0 } { 8 } , \sqrt { 16 } , \frac { - 7 } { 0 } , 0.76 \right\}$ ,Given list the num list the nubers in this set that also belong to the set of Irrational numbers.
A) $\sqrt { 6 } , \sqrt { 16 } , 0.76$
B) $\sqrt { 6 } , \frac { - 7 } { 0 }$
C) $\sqrt { 6 }$
D) $\sqrt { 6 } , \sqrt { 16 }$

Question

Quizplus · Accepted Answer

Irrational numbers cannot be expressed as a simple fraction and are not terminating or repeating decimals. $\sqrt{6}$ is irrational because it cannot be simplified to a fraction. $\sqrt{16}$ is rational because it equals 4, a whole number. $0.76$ is a terminating decimal, thus rational. $\frac{-7}{0}$ is undefined, not a number, and therefore not considered irrational.

List the Numbers in the Given Set That Belong to the Indicated