Question
Answer
$$6\sqrt{18}+12\sqrt{72}=90\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6\sqrt{18}+12\sqrt{72}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}18\sqrt{2}+72\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}90\sqrt{2}\end{aligned} $$ | |
| ① | $$ 6 \sqrt{18} =
6 \sqrt{ 3 ^2 \cdot 2 } =
6 \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
6 \cdot 3 \sqrt{ 2 } =
18 \sqrt{ 2 } $$ |
| ② | $$ 12 \sqrt{72} =
12 \sqrt{ 6 ^2 \cdot 2 } =
12 \sqrt{ 6 ^2 } \, \sqrt{ 2 } =
12 \cdot 6 \sqrt{ 2 } =
72 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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