Tap the blue circles to see an explanation.
$$ \begin{aligned}\frac{20}{3\sqrt{2}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{20}{3\sqrt{2}}\frac{\sqrt{2}}{\sqrt{2}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{20\sqrt{2}}{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 20 \sqrt{ 2 } : \color{blue}{ 2 } } { 6 : \color{blue}{ 2 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{10\sqrt{2}}{3}\end{aligned} $$ | |
① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{2}} $$. |
② | Multiply in a numerator. $$ \color{blue}{ 20 } \cdot \sqrt{2} = 20 \sqrt{2} $$ Simplify denominator. $$ \color{blue}{ 3 \sqrt{2} } \cdot \sqrt{2} = 6 $$ |
③ | Divide numerator and denominator by $ \color{blue}{ 2 } $. |