Question
Answer
$$\dfrac{18-\sqrt{90}}{3}=6-\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{18-\sqrt{90}}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{18-3\sqrt{10}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{6-\sqrt{10}}{1} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}6-\sqrt{10}\end{aligned} $$ | |
| ① | $$ - \sqrt{90} =
- \sqrt{ 3 ^2 \cdot 10 } =
- \sqrt{ 3 ^2 } \, \sqrt{ 10 } =
- 3 \sqrt{ 10 }$$ |
| ② | Divide both numerator and denominator by 3. |
| ③ | Remove 1 from denominator. |
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