Question
Answer
$$\dfrac{-12\sqrt{912}}{8}=-6\sqrt{57}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{-12\sqrt{912}}{8}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{-48\sqrt{57}}{8} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ -48 \sqrt{ 57 } : \color{blue}{ 8 } } { 8 : \color{blue}{ 8 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{-6\sqrt{57}}{1} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-6\sqrt{57}\end{aligned} $$ | |
| ① | $$ - 12 \sqrt{912} =
-12 \sqrt{ 4 ^2 \cdot 57 } =
-12 \sqrt{ 4 ^2 } \, \sqrt{ 57 } =
-12 \cdot 4 \sqrt{ 57 } =
-48 \sqrt{ 57 } $$ |
| ② | Divide numerator and denominator by $ \color{blue}{ 8 } $. |
| ③ | Remove 1 from denominator. |
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