Question
Answer
$$\dfrac{-5\sqrt{280}}{40}=\dfrac{-\sqrt{70}}{4}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{-5\sqrt{280}}{40}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{-10\sqrt{70}}{40} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{-\sqrt{70}}{4}\end{aligned} $$ | |
| ① | $$ - 5 \sqrt{280} =
-5 \sqrt{ 2 ^2 \cdot 70 } =
-5 \sqrt{ 2 ^2 } \, \sqrt{ 70 } =
-5 \cdot 2 \sqrt{ 70 } =
-10 \sqrt{ 70 } $$ |
| ② | Divide both numerator and denominator by 10. |
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