Question

Identify 3 root 18 as rational or irrational

Answer 1

hope its help u dear

Answer 2

"$3 \sqrt{18}$ is an "irrational number".

Given:

$3 \sqrt{18}$

Solution:

$3\sqrt { 18 } \quad =\quad 3\sqrt { 9\times 2 }$

$=\quad 3\sqrt { 9 } \quad \times \quad \sqrt { 2 }$

$=\quad 3\sqrt { 3\times 3 } \quad \times \quad \sqrt { 2 }$

$=\quad 3\quad \times \quad 3\quad \times \quad \sqrt { 2 }$

$\Rightarrow 3\sqrt { 18 } \quad =\quad 9\sqrt { 2 }$

We know that, $\sqrt{2}$ is an "irrational number"."