Question
Answer
$$\dfrac{\sqrt{3}}{2}\sqrt{2}+2\sqrt{6}=\dfrac{5\sqrt{6}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{3}}{2}\sqrt{2}+2\sqrt{6}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{6}+4\sqrt{6}}{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{5\sqrt{6}}{2}\end{aligned} $$ | |
| ① | $$ \frac{\sqrt{3}}{2}\sqrt{2}+2\sqrt{6}
= \frac{\sqrt{6}}{2} \cdot \color{blue}{\frac{ 1 }{ 1}} + 2\sqrt{6} \cdot \color{blue}{\frac{ 2 }{ 2}}
= \frac{\sqrt{6}+4\sqrt{6}}{2} $$ |
| ② | Simplify numerator and denominator |
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