Answer
$$\frac{12\sqrt{12}}{\sqrt{24}}=6\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{12\sqrt{12}}{\sqrt{24}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{12\sqrt{12}}{\sqrt{24}}\frac{\sqrt{24}}{\sqrt{24}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{144\sqrt{2}}{24} \xlongequal{ } \\[1 em] & \xlongequal{ }6\sqrt{2}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{24}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 12 \sqrt{12} } \cdot \sqrt{24} = 144 \sqrt{2} $$ Simplify denominator. $$ \color{blue}{ \sqrt{24} } \cdot \sqrt{24} = 24 $$ |
This page was created using
Rationalize Denominator Calculator