Answer
$$\frac{2}{5\sqrt{33}}=\frac{2\sqrt{33}}{165}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{2}{5\sqrt{33}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2}{5\sqrt{33}}\frac{\sqrt{33}}{\sqrt{33}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2\sqrt{33}}{165}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{33}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 2 } \cdot \sqrt{33} = 2 \sqrt{33} $$ Simplify denominator. $$ \color{blue}{ 5 \sqrt{33} } \cdot \sqrt{33} = 165 $$ |
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