# How do you simplify sqrt((18x^2)/ 2)?

It is $\sqrt{18 \cdot {x}^{2} / 2} = \sqrt{9 {x}^{2}} = \sqrt{{3}^{2} \cdot {x}^{2}} = \sqrt{{3}^{2}} \cdot \sqrt{{x}^{2}} = 3 \cdot \left\mid x \right\mid$
where abs is the absolute value.