Question
Answer
$$\sqrt{\dfrac{8}{50}}=\dfrac{2}{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{\frac{8}{50}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{25}\sqrt{100} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2}{5}\end{aligned} $$ | |
| ① | $$ \sqrt{ \frac{ 4 }{ 25 } } = \frac{ \sqrt{ 4 } } {\sqrt{ 25 }}
= \frac{ \sqrt{ 4 } } {\sqrt{ 25 }} \cdot \frac{ \sqrt{ 25 } } {\sqrt{ 25 }} = \\
= \frac{ \sqrt{ 100 }} { 25 } = \frac{ 1 }{ 25 } \sqrt{ 100 } $$ |
| ② | $$ \frac{ 1 }{ 25 } \sqrt{ 100 } = \frac{ 1 }{ 25 } \cdot 10 = \frac{ 2 }{ 5 } $$ |
This page was created using
Simplify Radical Expression