Question
Answer
$$-8\sqrt{18}+9\sqrt{32}=12\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8\sqrt{18}+9\sqrt{32}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-24\sqrt{2}+36\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}12\sqrt{2}\end{aligned} $$ | |
| ① | $$ - 8 \sqrt{18} =
-8 \sqrt{ 3 ^2 \cdot 2 } =
-8 \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
-8 \cdot 3 \sqrt{ 2 } =
-24 \sqrt{ 2 } $$ |
| ② | $$ 9 \sqrt{32} =
9 \sqrt{ 4 ^2 \cdot 2 } =
9 \sqrt{ 4 ^2 } \, \sqrt{ 2 } =
9 \cdot 4 \sqrt{ 2 } =
36 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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