Answer
$\sqrt{\dfrac{3x}{50}}=\dfrac{\sqrt{6x}}{10}$
Work Step by Step
$\sqrt{\dfrac{3x}{50}}$
Rewrite this expression as $\dfrac{\sqrt{3x}}{\sqrt{25\cdot2}}$ and simplify it:
$\sqrt{\dfrac{3x}{50}}=\dfrac{\sqrt{3x}}{\sqrt{25\cdot2}}=\dfrac{\sqrt{3x}}{5\sqrt{2}}=...$
Multiply the fraction by $\dfrac{\sqrt{2}}{\sqrt{2}}$ and simplify again:
$...=\dfrac{\sqrt{3x}}{5\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{6x}}{5\sqrt{2^{2}}}=\dfrac{\sqrt{6x}}{5(2)}=\dfrac{\sqrt{6x}}{10}$
