Question
Answer
$$8\sqrt{104}+9\sqrt{104}=34\sqrt{26}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8\sqrt{104}+9\sqrt{104}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16\sqrt{26}+18\sqrt{26} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}34\sqrt{26}\end{aligned} $$ | |
| ① | $$ 8 \sqrt{104} =
8 \sqrt{ 2 ^2 \cdot 26 } =
8 \sqrt{ 2 ^2 } \, \sqrt{ 26 } =
8 \cdot 2 \sqrt{ 26 } =
16 \sqrt{ 26 } $$ |
| ② | $$ 9 \sqrt{104} =
9 \sqrt{ 2 ^2 \cdot 26 } =
9 \sqrt{ 2 ^2 } \, \sqrt{ 26 } =
9 \cdot 2 \sqrt{ 26 } =
18 \sqrt{ 26 } $$ |
| ③ | Combine like terms |
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