#### Answer

$\sqrt{\dfrac{1}{2}}=\dfrac{\sqrt{2}}{2}$

#### Work Step by Step

$\sqrt{\dfrac{1}{2}}$
Rewrite this expression as $\dfrac{\sqrt{1}}{\sqrt{2}}$:
$\sqrt{\dfrac{1}{2}}=\dfrac{\sqrt{1}}{\sqrt{2}}=\dfrac{1}{\sqrt{2}}=...$
Multiply the fraction by $\dfrac{\sqrt{2}}{\sqrt{2}}$ and simplify:
$...=\dfrac{1}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{2}}{\sqrt{2^{2}}}=\dfrac{\sqrt{2}}{2}$