Question
Answer
$$\dfrac{3\sqrt{60}}{20}=\dfrac{3\sqrt{15}}{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{3\sqrt{60}}{20}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{6\sqrt{15}}{20} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ 6 \sqrt{ 15 } : \color{blue}{ 2 } } { 20 : \color{blue}{ 2 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{3\sqrt{15}}{10}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{60} =
3 \sqrt{ 2 ^2 \cdot 15 } =
3 \sqrt{ 2 ^2 } \, \sqrt{ 15 } =
3 \cdot 2 \sqrt{ 15 } =
6 \sqrt{ 15 } $$ |
| ② | Divide numerator and denominator by $ \color{blue}{ 2 } $. |
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