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