Question
Answer
$$\dfrac{3\sqrt{13}}{2\sqrt{39}}=\dfrac{\sqrt{3}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{3\sqrt{13}}{2\sqrt{39}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3\sqrt{13}}{2\sqrt{39}}\frac{\sqrt{39}}{\sqrt{39}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{39\sqrt{3}}{78} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{\sqrt{3}}{2}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{39}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 3 \sqrt{13} } \cdot \sqrt{39} = 39 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ 2 \sqrt{39} } \cdot \sqrt{39} = 78 $$ |
| ③ | Divide both numerator and denominator by 39. |
This page was created using
Rationalize Denominator Calculator