Question
Answer
$$\dfrac{\sqrt{29}}{2\sqrt{29}}=\dfrac{1}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{29}}{2\sqrt{29}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{29}}{2\sqrt{29}}\frac{\sqrt{29}}{\sqrt{29}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{29}{58} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}} \frac{ 29 : \color{orangered}{ 29 } }{ 58 : \color{orangered}{ 29 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{2}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{29}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{29} } \cdot \sqrt{29} = 29 $$ Simplify denominator. $$ \color{blue}{ 2 \sqrt{29} } \cdot \sqrt{29} = 58 $$ |
| ③ | Divide both the top and bottom numbers by $ \color{orangered}{ 29 } $. |
This page was created using
Rationalize Denominator Calculator