Question
Answer
$$9\sqrt{108}+4\sqrt{3}=58\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9\sqrt{108}+4\sqrt{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}54\sqrt{3}+4\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}58\sqrt{3}\end{aligned} $$ | |
| ① | $$ 9 \sqrt{108} =
9 \sqrt{ 6 ^2 \cdot 3 } =
9 \sqrt{ 6 ^2 } \, \sqrt{ 3 } =
9 \cdot 6 \sqrt{ 3 } =
54 \sqrt{ 3 } $$ |
| ② | Combine like terms |
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