Question
Answer
$$\dfrac{27}{9\sqrt{22}}=\dfrac{3\sqrt{22}}{22}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{27}{9\sqrt{22}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{27}{9\sqrt{22}}\frac{\sqrt{22}}{\sqrt{22}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{27\sqrt{22}}{198} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 27 \sqrt{ 22 } : \color{blue}{ 9 } } { 198 : \color{blue}{ 9 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{3\sqrt{22}}{22}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{22}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 27 } \cdot \sqrt{22} = 27 \sqrt{22} $$ Simplify denominator. $$ \color{blue}{ 9 \sqrt{22} } \cdot \sqrt{22} = 198 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 9 } $. |
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