Question
Answer
$$\dfrac{33}{14\sqrt{11}}=\dfrac{3\sqrt{11}}{14}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{33}{14\sqrt{11}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{33}{14\sqrt{11}}\frac{\sqrt{11}}{\sqrt{11}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{33\sqrt{11}}{154} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 33 \sqrt{ 11 } : \color{blue}{ 11 } } { 154 : \color{blue}{ 11 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{3\sqrt{11}}{14}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{11}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 33 } \cdot \sqrt{11} = 33 \sqrt{11} $$ Simplify denominator. $$ \color{blue}{ 14 \sqrt{11} } \cdot \sqrt{11} = 154 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 11 } $. |
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