which is the correct classification of $sqrt{18}$?\nirrational number, non - repeating decimal\nirrational…

which is the correct classification of $sqrt{18}$?\nirrational number, non - repeating decimal\nirrational number, terminating decimal\nrational number, terminating decimal\nrational number, non - repeating decimal

which is the correct classification of $sqrt{18}$?\nirrational number, non - repeating decimal\nirrational number, terminating decimal\nrational number, terminating decimal\nrational number, non - repeating decimal

Answer

Explanation:

Step1: Simplify the square - root

$\sqrt{18}=\sqrt{9\times2}=3\sqrt{2}$

Step2: Recall the definition of rational and irrational numbers

A rational number can be written as a fraction $\frac{p}{q}$ where $p,q\in\mathbb{Z}$ and $q\neq0$. An irrational number cannot be written as a fraction. $\sqrt{2}$ is an irrational number. Since $\sqrt{18}=3\sqrt{2}$, it is also an irrational number. Irrational numbers have non - repeating, non - terminating decimal expansions.

Answer:

irrational number, non - repeating decimal