Question
Answer
$$5\sqrt{18}-7\sqrt{8}=\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5\sqrt{18}-7\sqrt{8}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15\sqrt{2}-14\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\sqrt{2}\end{aligned} $$ | |
| ① | $$ 5 \sqrt{18} =
5 \sqrt{ 3 ^2 \cdot 2 } =
5 \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
5 \cdot 3 \sqrt{ 2 } =
15 \sqrt{ 2 } $$ |
| ② | $$ - 7 \sqrt{8} =
-7 \sqrt{ 2 ^2 \cdot 2 } =
-7 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
-7 \cdot 2 \sqrt{ 2 } =
-14 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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