Question
Answer
$$6\cdot\dfrac{\sqrt{10}}{\sqrt{10}}=6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6 \cdot \frac{\sqrt{10}}{\sqrt{10}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6\cdot\frac{10}{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6 \cdot \frac{ 10 : \color{orangered}{ 10 } }{ 10 : \color{orangered}{ 10 }} \xlongequal{ } \\[1 em] & \xlongequal{ }6\cdot\frac{1}{1} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}6\cdot1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}6\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{10} } \cdot \sqrt{10} = 10 $$ Simplify denominator. $$ \color{blue}{ \sqrt{10} } \cdot \sqrt{10} = 10 $$ |
| ② | Divide both the top and bottom numbers by $ \color{orangered}{ 10 } $. |
| ③ | Remove 1 from denominator. |
| ④ | $ 6 \cdot 1 = 6 $ |
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