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