Question

express in simplest radical form. \\(\dfrac{\sqrt{18}}{\sqrt{3}}\\) answer attempt 1 out of 2

Explanation:

Step1: Use the quotient rule for radicals

The quotient rule for radicals states that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ (where $a\geq0$ and $b>0$). Applying this to $\frac{\sqrt{18}}{\sqrt{3}}$, we get $\sqrt{\frac{18}{3}}$.

Step2: Simplify the fraction inside the radical

Simplify $\frac{18}{3}$ to get $6$. So now we have $\sqrt{6}$. Since $6$ has no perfect square factors other than $1$, $\sqrt{6}$ is in simplest radical form.

Answer:

$\sqrt{6}$