Question
Answer
$$\dfrac{6}{4}+\dfrac{\sqrt{28}}{4}=\dfrac{3+\sqrt{7}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{6}{4}+\frac{\sqrt{28}}{4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{6}{4}+\frac{\sqrt{7}}{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{3+\sqrt{7}}{2}\end{aligned} $$ | |
| ① | Divide both numerator and denominator by 2. |
| ② | $$ \frac{6}{4}+\frac{\sqrt{7}}{2}
= \frac{3}{2} \cdot \color{blue}{\frac{ 2 }{ 2}} + \frac{\sqrt{7}}{2} \cdot \color{blue}{\frac{ 1 }{ 1}}
= \frac{3+\sqrt{7}}{2} $$ |
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