Question
Answer
$$\dfrac{8}{\sqrt{6}}+2=\dfrac{8\sqrt{6}+12}{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{8}{\sqrt{6}}+2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{8\sqrt{6}}{6}+2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{8\sqrt{6}+12}{6}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ 8 } \cdot \sqrt{6} = 8 \sqrt{6} $$ Simplify denominator. $$ \color{blue}{ \sqrt{6} } \cdot \sqrt{6} = 6 $$ |
| ② | $$ \frac{8\sqrt{6}}{6}+2
= \frac{8\sqrt{6}}{6} \cdot \color{blue}{\frac{ 1 }{ 1}} + 2 \cdot \color{blue}{\frac{ 6 }{ 6}}
= \frac{8\sqrt{6}+12}{6} $$ |
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