Question
Answer
$$-2\sqrt{29}-6\sqrt{45}+2\sqrt{18}=-2\sqrt{29}-18\sqrt{5}+6\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-2\sqrt{29}-6\sqrt{45}+2\sqrt{18}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2\sqrt{29}-18\sqrt{5}+6\sqrt{2}\end{aligned} $$ | |
| ① | $$ - 6 \sqrt{45} =
-6 \sqrt{ 3 ^2 \cdot 5 } =
-6 \sqrt{ 3 ^2 } \, \sqrt{ 5 } =
-6 \cdot 3 \sqrt{ 5 } =
-18 \sqrt{ 5 } $$ |
| ② | $$ 2 \sqrt{18} =
2 \sqrt{ 3 ^2 \cdot 2 } =
2 \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
2 \cdot 3 \sqrt{ 2 } =
6 \sqrt{ 2 } $$ |
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