Question
Answer
$$\dfrac{12}{13\sqrt{60}}=\dfrac{2\sqrt{15}}{65}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{12}{13\sqrt{60}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{12}{13\sqrt{60}}\frac{\sqrt{60}}{\sqrt{60}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{24\sqrt{15}}{780} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 24 \sqrt{ 15 } : \color{blue}{ 12 } } { 780 : \color{blue}{ 12 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{2\sqrt{15}}{65}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{60}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 12 } \cdot \sqrt{60} = 24 \sqrt{15} $$ Simplify denominator. $$ \color{blue}{ 13 \sqrt{60} } \cdot \sqrt{60} = 780 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 12 } $. |
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