Question
Answer
$$\dfrac{11\sqrt{28}}{11-28}=-\dfrac{22\sqrt{7}}{17}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{11\sqrt{28}}{11-28}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{11\sqrt{28}}{-17} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{22\sqrt{7}}{-17} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-\frac{22\sqrt{7}}{17}\end{aligned} $$ | |
| ① | Simplify numerator and denominator |
| ② | $$ 11 \sqrt{28} =
11 \sqrt{ 2 ^2 \cdot 7 } =
11 \sqrt{ 2 ^2 } \, \sqrt{ 7 } =
11 \cdot 2 \sqrt{ 7 } =
22 \sqrt{ 7 } $$ |
| ③ | Place a negative sign in front of a fraction. |
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