Question
Answer
$$10\sqrt{3}-4\sqrt{147}=-18\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}10\sqrt{3}-4\sqrt{147}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10\sqrt{3}-28\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-18\sqrt{3}\end{aligned} $$ | |
| ① | $$ - 4 \sqrt{147} =
-4 \sqrt{ 7 ^2 \cdot 3 } =
-4 \sqrt{ 7 ^2 } \, \sqrt{ 3 } =
-4 \cdot 7 \sqrt{ 3 } =
-28 \sqrt{ 3 } $$ |
| ② | Combine like terms |
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