Question
Answer
$$24\cdot\dfrac{\sqrt{16}}{6\sqrt{2}}=8\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}24 \cdot \frac{\sqrt{16}}{6\sqrt{2}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}24 \cdot \frac{4\sqrt{2}}{12} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}24 \cdot \frac{\sqrt{2}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{24\sqrt{2}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ }8\sqrt{2}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{16} } \cdot \sqrt{2} = 4 \sqrt{2} $$ Simplify denominator. $$ \color{blue}{ 6 \sqrt{2} } \cdot \sqrt{2} = 12 $$ |
| ② | Divide both numerator and denominator by 4. |
| ③ | $$ \color{blue}{ 24 } \cdot \sqrt{2} = 24 \sqrt{2} $$$$ \color{blue}{ 1 } \cdot 3 = 3 $$ |
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