Question
Answer
$$\dfrac{4368}{526\sqrt{78}}=\dfrac{28\sqrt{78}}{263}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{4368}{526\sqrt{78}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4368}{526\sqrt{78}}\frac{\sqrt{78}}{\sqrt{78}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{4368\sqrt{78}}{41028} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 4368 \sqrt{ 78 } : \color{blue}{ 156 } } { 41028 : \color{blue}{ 156 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{28\sqrt{78}}{263}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{78}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 4368 } \cdot \sqrt{78} = 4368 \sqrt{78} $$ Simplify denominator. $$ \color{blue}{ 526 \sqrt{78} } \cdot \sqrt{78} = 41028 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 156 } $. |
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