Question
Answer
$$9\sqrt{32}-6\sqrt{8}+\sqrt{25}=24\sqrt{2}+5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9\sqrt{32}-6\sqrt{8}+\sqrt{25}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}36\sqrt{2}-12\sqrt{2}+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}24\sqrt{2}+5\end{aligned} $$ | |
| ① | $$ 9 \sqrt{32} =
9 \sqrt{ 4 ^2 \cdot 2 } =
9 \sqrt{ 4 ^2 } \, \sqrt{ 2 } =
9 \cdot 4 \sqrt{ 2 } =
36 \sqrt{ 2 } $$ |
| ② | $$ - 6 \sqrt{8} =
-6 \sqrt{ 2 ^2 \cdot 2 } =
-6 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
-6 \cdot 2 \sqrt{ 2 } =
-12 \sqrt{ 2 } $$ |
| ③ | $$ \sqrt{25} = 5 $$ |
| ④ | Combine like terms |
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