Question
Answer
$$22.5\cdot\dfrac{30}{\sqrt{3}}=220\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}22.5\cdot\frac{30}{\sqrt{3}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}22.5 \cdot \frac{30\sqrt{3}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{660\sqrt{3}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ }220\sqrt{3}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ 30 } \cdot \sqrt{3} = 30 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ \sqrt{3} } \cdot \sqrt{3} = 3 $$ |
| ② | $$ \color{blue}{ 22 } \cdot 30 \sqrt{3} = 660 \sqrt{3} $$$$ \color{blue}{ 1 } \cdot 3 = 3 $$ |
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