Question
Answer
$$\dfrac{\sqrt{5}}{\sqrt{3}}\cdot2=\dfrac{2\sqrt{15}}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{5}}{\sqrt{3}}\cdot2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{15}}{3}\cdot2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2\sqrt{15}}{3}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{5} } \cdot \sqrt{3} = \sqrt{15} $$ Simplify denominator. $$ \color{blue}{ \sqrt{3} } \cdot \sqrt{3} = 3 $$ |
| ② | $$ \color{blue}{ \sqrt{15} } \cdot 2 = 2 \sqrt{15} $$$$ \color{blue}{ 3 } \cdot 1 = 3 $$ |
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