Question
Answer
$$\dfrac{\sqrt{20}}{\sqrt{67}}=\dfrac{2\sqrt{335}}{67}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{20}}{\sqrt{67}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{20}}{\sqrt{67}}\frac{\sqrt{67}}{\sqrt{67}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2\sqrt{335}}{67}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{67}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{20} } \cdot \sqrt{67} = 2 \sqrt{335} $$ Simplify denominator. $$ \color{blue}{ \sqrt{67} } \cdot \sqrt{67} = 67 $$ |
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