Question
Answer
$$15\cdot\dfrac{\sqrt{8}}{\sqrt{10}}=6\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}15 \cdot \frac{\sqrt{8}}{\sqrt{10}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15 \cdot \frac{4\sqrt{5}}{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{60\sqrt{5}}{10} \xlongequal{ } \\[1 em] & \xlongequal{ }6\sqrt{5}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{8} } \cdot \sqrt{10} = 4 \sqrt{5} $$ Simplify denominator. $$ \color{blue}{ \sqrt{10} } \cdot \sqrt{10} = 10 $$ |
| ② | $$ \color{blue}{ 15 } \cdot 4 \sqrt{5} = 60 \sqrt{5} $$$$ \color{blue}{ 1 } \cdot 10 = 10 $$ |
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