Question
Answer
$$6\sqrt{3}+2\sqrt{75}=16\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6\sqrt{3}+2\sqrt{75}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6\sqrt{3}+10\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16\sqrt{3}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{75} =
2 \sqrt{ 5 ^2 \cdot 3 } =
2 \sqrt{ 5 ^2 } \, \sqrt{ 3 } =
2 \cdot 5 \sqrt{ 3 } =
10 \sqrt{ 3 } $$ |
| ② | Combine like terms |
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