Question
Answer
$$\dfrac{6\sqrt{72}}{72}=\dfrac{\sqrt{2}}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{6\sqrt{72}}{72}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{36\sqrt{2}}{72} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{\sqrt{2}}{2}\end{aligned} $$ | |
| ① | $$ 6 \sqrt{72} =
6 \sqrt{ 6 ^2 \cdot 2 } =
6 \sqrt{ 6 ^2 } \, \sqrt{ 2 } =
6 \cdot 6 \sqrt{ 2 } =
36 \sqrt{ 2 } $$ |
| ② | Divide both numerator and denominator by 36. |
This page was created using
Rationalize Denominator Calculator