Question
Answer
$$\dfrac{\sqrt{23}}{\sqrt{69}}=\dfrac{\sqrt{3}}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{23}}{\sqrt{69}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{23}}{\sqrt{69}}\frac{\sqrt{69}}{\sqrt{69}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{23\sqrt{3}}{69} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{\sqrt{3}}{3}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{69}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{23} } \cdot \sqrt{69} = 23 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ \sqrt{69} } \cdot \sqrt{69} = 69 $$ |
| ③ | Divide both numerator and denominator by 23. |
This page was created using
Rationalize Denominator Calculator