Answer
$$2\sqrt{153}+4\sqrt{68}=14\sqrt{17}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{153}+4\sqrt{68}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6\sqrt{17}+8\sqrt{17} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}14\sqrt{17}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{153} =
2 \sqrt{ 3 ^2 \cdot 17 } =
2 \sqrt{ 3 ^2 } \, \sqrt{ 17 } =
2 \cdot 3 \sqrt{ 17 } =
6 \sqrt{ 17 } $$ |
| ② | $$ 4 \sqrt{68} =
4 \sqrt{ 2 ^2 \cdot 17 } =
4 \sqrt{ 2 ^2 } \, \sqrt{ 17 } =
4 \cdot 2 \sqrt{ 17 } =
8 \sqrt{ 17 } $$ |
| ③ | Combine like terms |
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