Answer
$$6\sqrt{6}-4\sqrt{150}=-14\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6\sqrt{6}-4\sqrt{150}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6\sqrt{6}-20\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-14\sqrt{6}\end{aligned} $$ | |
| ① | $$ - 4 \sqrt{150} =
-4 \sqrt{ 5 ^2 \cdot 6 } =
-4 \sqrt{ 5 ^2 } \, \sqrt{ 6 } =
-4 \cdot 5 \sqrt{ 6 } =
-20 \sqrt{ 6 } $$ |
| ② | Combine like terms |
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