Question
Answer
$$\dfrac{\sqrt{93}}{2\sqrt{31}}=\dfrac{\sqrt{3}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{93}}{2\sqrt{31}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{93}}{2\sqrt{31}}\frac{\sqrt{31}}{\sqrt{31}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{31\sqrt{3}}{62} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{\sqrt{3}}{2}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{31}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{93} } \cdot \sqrt{31} = 31 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ 2 \sqrt{31} } \cdot \sqrt{31} = 62 $$ |
| ③ | Divide both numerator and denominator by 31. |
This page was created using
Rationalize Denominator Calculator