Question
Answer
$$3\sqrt{3}\sqrt{6}+5\sqrt{50}=34\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{3}\sqrt{6}+5\sqrt{50}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9\sqrt{2}+25\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}34\sqrt{2}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{18} =
3 \sqrt{ 3 ^2 \cdot 2 } =
3 \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
3 \cdot 3 \sqrt{ 2 } =
9 \sqrt{ 2 } $$ |
| ② | $$ 5 \sqrt{50} =
5 \sqrt{ 5 ^2 \cdot 2 } =
5 \sqrt{ 5 ^2 } \, \sqrt{ 2 } =
5 \cdot 5 \sqrt{ 2 } =
25 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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