Question
Answer
$$\dfrac{5\sqrt{300}}{20}=\dfrac{5\sqrt{3}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{5\sqrt{300}}{20}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{50\sqrt{3}}{20} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ 50 \sqrt{ 3 } : \color{blue}{ 10 } } { 20 : \color{blue}{ 10 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{5\sqrt{3}}{2}\end{aligned} $$ | |
| ① | $$ 5 \sqrt{300} =
5 \sqrt{ 10 ^2 \cdot 3 } =
5 \sqrt{ 10 ^2 } \, \sqrt{ 3 } =
5 \cdot 10 \sqrt{ 3 } =
50 \sqrt{ 3 } $$ |
| ② | Divide numerator and denominator by $ \color{blue}{ 10 } $. |
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