Question
Answer
$$\dfrac{\sqrt{12}}{\sqrt{108}}=\dfrac{1}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{12}}{\sqrt{108}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{12}}{\sqrt{108}}\frac{\sqrt{108}}{\sqrt{108}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{36}{108} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}} \frac{ 36 : \color{orangered}{ 36 } }{ 108 : \color{orangered}{ 36 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{3}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{108}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{12} } \cdot \sqrt{108} = 36 $$ Simplify denominator. $$ \color{blue}{ \sqrt{108} } \cdot \sqrt{108} = 108 $$ |
| ③ | Divide both the top and bottom numbers by $ \color{orangered}{ 36 } $. |
This page was created using
Simplify Radical Expression