Question
Answer
$$\dfrac{4\sqrt{81}}{4\sqrt{8}}=\dfrac{9\sqrt{2}}{4}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{4\sqrt{81}}{4\sqrt{8}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4\sqrt{81}}{4\sqrt{8}}\frac{\sqrt{8}}{\sqrt{8}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{72\sqrt{2}}{32} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 72 \sqrt{ 2 } : \color{blue}{ 8 } } { 32 : \color{blue}{ 8 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{9\sqrt{2}}{4}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{8}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 4 \sqrt{81} } \cdot \sqrt{8} = 72 \sqrt{2} $$ Simplify denominator. $$ \color{blue}{ 4 \sqrt{8} } \cdot \sqrt{8} = 32 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 8 } $. |
This page was created using
Rationalize Denominator Calculator