Answer
$\dfrac{1}{\sqrt{12z}}=\dfrac{\sqrt{3z}}{6z}$
Work Step by Step
$\dfrac{1}{\sqrt{12z}}$
Multiply the fraction by $\dfrac{\sqrt{12z}}{\sqrt{12z}}$:
$\dfrac{1}{\sqrt{12z}}\cdot\dfrac{\sqrt{12z}}{\sqrt{12z}}=\dfrac{\sqrt{12z}}{\sqrt{(12z)^{2}}}=\dfrac{\sqrt{12z}}{12z}=...$
Rewrite the expression as $\dfrac{\sqrt{4\cdot3\cdot z}}{12z}$ and simplify:
$...=\dfrac{\sqrt{4\cdot3\cdot z}}{12z}=\dfrac{2\sqrt{3z}}{12z}=\dfrac{\sqrt{3z}}{6z}$
