Question
Answer
$$\dfrac{\sqrt{4}}{3}\sqrt{25}=\dfrac{10}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{4}}{3}\sqrt{25}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{4}}{3}\cdot5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2}{3}\cdot5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{10}{3}\end{aligned} $$ | |
| ① | $$ \sqrt{25} = 5 $$ |
| ② | $$ \sqrt{4} = 2 $$ |
| ③ | Multiply $ \dfrac{2}{3} $ by $ 5 $ to get $ \dfrac{10}{3} $. Write $ 5 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. $$ \begin{aligned} \frac{2}{3} \cdot 5 = \frac{2}{3} \cdot \frac{5}{\color{red}{1}} = \frac{10}{3} \end{aligned} $$ |
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