Answer
$\sqrt{\dfrac{18}{5}}=\dfrac{6}{\sqrt{10}}$
Work Step by Step
$\sqrt{\dfrac{18}{5}}$
Rewrite this expression as $\dfrac{\sqrt{9\cdot2}}{\sqrt{5}}$ and simplify it:
$\sqrt{\dfrac{18}{5}}=\dfrac{\sqrt{9\cdot2}}{\sqrt{5}}=\dfrac{3\sqrt{2}}{\sqrt{5}}=...$
Multiply this expression by $\dfrac{\sqrt{2}}{\sqrt{2}}$ and simplify again if possible:
$...=\dfrac{3\sqrt{2}}{\sqrt{5}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{3\sqrt{2^{2}}}{\sqrt{10}}=\dfrac{3(2)}{\sqrt{10}}=\dfrac{6}{\sqrt{10}}$
