Question
Answer
$$-6\sqrt{19}-3\sqrt{76}=-12\sqrt{19}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-6\sqrt{19}-3\sqrt{76}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-6\sqrt{19}-6\sqrt{19} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-12\sqrt{19}\end{aligned} $$ | |
| ① | $$ - 3 \sqrt{76} =
-3 \sqrt{ 2 ^2 \cdot 19 } =
-3 \sqrt{ 2 ^2 } \, \sqrt{ 19 } =
-3 \cdot 2 \sqrt{ 19 } =
-6 \sqrt{ 19 } $$ |
| ② | Combine like terms |
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