Question

simplify (sqrt{8x})

Explanation:

Step1: Factor the radicand

Factor 8 into $4\times2$, so $\sqrt{8x}=\sqrt{4\times2\times x}$.

Step2: Use square - root property

We know that $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ (where $a\geq0,b\geq0$). Since $\sqrt{4} = 2$, we can rewrite $\sqrt{4\times2\times x}$ as $\sqrt{4}\cdot\sqrt{2x}$.
Substituting $\sqrt{4}=2$ into the expression, we get $2\sqrt{2x}$.

Answer:

$2\sqrt{2x}$