Answer
$$\frac{20\sqrt{24}}{3\sqrt{20}}=\frac{4\sqrt{30}}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{20\sqrt{24}}{3\sqrt{20}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{20\sqrt{24}}{3\sqrt{20}}\frac{\sqrt{20}}{\sqrt{20}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{80\sqrt{30}}{60} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 80 \sqrt{ 30 } : \color{blue}{ 20 } } { 60 : \color{blue}{ 20 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{4\sqrt{30}}{3}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{20}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 20 \sqrt{24} } \cdot \sqrt{20} = 80 \sqrt{30} $$ Simplify denominator. $$ \color{blue}{ 3 \sqrt{20} } \cdot \sqrt{20} = 60 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 20 } $. |
This page was created using
Rationalize Denominator Calculator