Question
Answer
$$6\cdot\dfrac{\sqrt{3}}{3\sqrt{6}}=\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6 \cdot \frac{\sqrt{3}}{3\sqrt{6}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6 \cdot \frac{3\sqrt{2}}{18} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6 \cdot \frac{\sqrt{2}}{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{6\sqrt{2}}{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}\frac{\sqrt{2}}{1} \xlongequal{ } \\[1 em] & \xlongequal{ }\sqrt{2}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{3} } \cdot \sqrt{6} = 3 \sqrt{2} $$ Simplify denominator. $$ \color{blue}{ 3 \sqrt{6} } \cdot \sqrt{6} = 18 $$ |
| ② | Divide both numerator and denominator by 3. |
| ③ | $$ \color{blue}{ 6 } \cdot \sqrt{2} = 6 \sqrt{2} $$$$ \color{blue}{ 1 } \cdot 6 = 6 $$ |
| ④ | Divide both numerator and denominator by 6. |
This page was created using
Simplify Radical Expression