Question
Answer
$$\dfrac{286650\sqrt{3}}{63700\sqrt{11}}=\dfrac{9\sqrt{33}}{22}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{286650\sqrt{3}}{63700\sqrt{11}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{286650\sqrt{3}}{63700\sqrt{11}}\frac{\sqrt{11}}{\sqrt{11}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{286650\sqrt{33}}{700700} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 286650 \sqrt{ 33 } : \color{blue}{ 31850 } } { 700700 : \color{blue}{ 31850 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{9\sqrt{33}}{22}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{11}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 286650 \sqrt{3} } \cdot \sqrt{11} = 286650 \sqrt{33} $$ Simplify denominator. $$ \color{blue}{ 63700 \sqrt{11} } \cdot \sqrt{11} = 700700 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 31850 } $. |
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