Question
Answer
$$\dfrac{\sqrt{31}\cdot\sqrt{40}}{40}=\dfrac{\sqrt{310}}{20}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{31}\cdot\sqrt{40}}{40}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2\sqrt{310}}{40} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{\sqrt{310}}{20}\end{aligned} $$ | |
| ① | $$ \sqrt{1240} =
\sqrt{ 2 ^2 \cdot 310 } =
\sqrt{ 2 ^2 } \, \sqrt{ 310 } =
2 \sqrt{ 310 }$$ |
| ② | Divide both numerator and denominator by 2. |
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