Question
Answer
$$-7\sqrt{54}+3\sqrt{150}=-6\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-7\sqrt{54}+3\sqrt{150}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-21\sqrt{6}+15\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-6\sqrt{6}\end{aligned} $$ | |
| ① | $$ - 7 \sqrt{54} =
-7 \sqrt{ 3 ^2 \cdot 6 } =
-7 \sqrt{ 3 ^2 } \, \sqrt{ 6 } =
-7 \cdot 3 \sqrt{ 6 } =
-21 \sqrt{ 6 } $$ |
| ② | $$ 3 \sqrt{150} =
3 \sqrt{ 5 ^2 \cdot 6 } =
3 \sqrt{ 5 ^2 } \, \sqrt{ 6 } =
3 \cdot 5 \sqrt{ 6 } =
15 \sqrt{ 6 } $$ |
| ③ | Combine like terms |
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