Answer
$$10\cdot\frac{\sqrt{18}}{\sqrt{5}}=6\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}10 \cdot \frac{\sqrt{18}}{\sqrt{5}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10 \cdot \frac{3\sqrt{10}}{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{30\sqrt{10}}{5} \xlongequal{ } \\[1 em] & \xlongequal{ }6\sqrt{10}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{18} } \cdot \sqrt{5} = 3 \sqrt{10} $$ Simplify denominator. $$ \color{blue}{ \sqrt{5} } \cdot \sqrt{5} = 5 $$ |
| ② | $$ \color{blue}{ 10 } \cdot 3 \sqrt{10} = 30 \sqrt{10} $$$$ \color{blue}{ 1 } \cdot 5 = 5 $$ |
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