Question
Answer
$$\dfrac{3}{5\sqrt{81}}=\dfrac{1}{15}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{3}{5\sqrt{81}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3}{5\sqrt{81}}\frac{\sqrt{81}}{\sqrt{81}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{27}{405} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}} \frac{ 27 : \color{orangered}{ 27 } }{ 405 : \color{orangered}{ 27 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{15}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{81}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 3 } \cdot \sqrt{81} = 27 $$ Simplify denominator. $$ \color{blue}{ 5 \sqrt{81} } \cdot \sqrt{81} = 405 $$ |
| ③ | Divide both the top and bottom numbers by $ \color{orangered}{ 27 } $. |
This page was created using
Rationalize Denominator Calculator