Question
Answer
$$\dfrac{14\sqrt{480}}{480}=\dfrac{7\sqrt{30}}{60}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{14\sqrt{480}}{480}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{56\sqrt{30}}{480} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ 56 \sqrt{ 30 } : \color{blue}{ 8 } } { 480 : \color{blue}{ 8 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{7\sqrt{30}}{60}\end{aligned} $$ | |
| ① | $$ 14 \sqrt{480} =
14 \sqrt{ 4 ^2 \cdot 30 } =
14 \sqrt{ 4 ^2 } \, \sqrt{ 30 } =
14 \cdot 4 \sqrt{ 30 } =
56 \sqrt{ 30 } $$ |
| ② | Divide numerator and denominator by $ \color{blue}{ 8 } $. |
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