Question
Answer
$$2\cdot\dfrac{\sqrt{15}}{\sqrt{48}}=\dfrac{\sqrt{5}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2 \cdot \frac{\sqrt{15}}{\sqrt{48}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2 \cdot \frac{12\sqrt{5}}{48} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2 \cdot \frac{\sqrt{5}}{4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{2\sqrt{5}}{4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}\frac{\sqrt{5}}{2}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{15} } \cdot \sqrt{48} = 12 \sqrt{5} $$ Simplify denominator. $$ \color{blue}{ \sqrt{48} } \cdot \sqrt{48} = 48 $$ |
| ② | Divide both numerator and denominator by 12. |
| ③ | $$ \color{blue}{ 2 } \cdot \sqrt{5} = 2 \sqrt{5} $$$$ \color{blue}{ 1 } \cdot 4 = 4 $$ |
| ④ | Divide both numerator and denominator by 2. |
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