Answer
$$2\sqrt{6}-5\sqrt{54}=-13\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{6}-5\sqrt{54}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2\sqrt{6}-15\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-13\sqrt{6}\end{aligned} $$ | |
| ① | $$ - 5 \sqrt{54} =
-5 \sqrt{ 3 ^2 \cdot 6 } =
-5 \sqrt{ 3 ^2 } \, \sqrt{ 6 } =
-5 \cdot 3 \sqrt{ 6 } =
-15 \sqrt{ 6 } $$ |
| ② | Combine like terms |
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