Question
Answer
$$-9\sqrt{15}+2\sqrt{135}=-3\sqrt{15}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-9\sqrt{15}+2\sqrt{135}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-9\sqrt{15}+6\sqrt{15} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3\sqrt{15}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{135} =
2 \sqrt{ 3 ^2 \cdot 15 } =
2 \sqrt{ 3 ^2 } \, \sqrt{ 15 } =
2 \cdot 3 \sqrt{ 15 } =
6 \sqrt{ 15 } $$ |
| ② | Combine like terms |
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