Question
Answer
$$-5\sqrt{75}-\sqrt{147}=-32\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5\sqrt{75}-\sqrt{147}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-25\sqrt{3}-7\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-32\sqrt{3}\end{aligned} $$ | |
| ① | $$ - 5 \sqrt{75} =
-5 \sqrt{ 5 ^2 \cdot 3 } =
-5 \sqrt{ 5 ^2 } \, \sqrt{ 3 } =
-5 \cdot 5 \sqrt{ 3 } =
-25 \sqrt{ 3 } $$ |
| ② | $$ - \sqrt{147} =
- \sqrt{ 7 ^2 \cdot 3 } =
- \sqrt{ 7 ^2 } \, \sqrt{ 3 } =
- 7 \sqrt{ 3 }$$ |
| ③ | Combine like terms |
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