Answer
$$7\sqrt{16}+6\sqrt{32}=28+24\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7\sqrt{16}+6\sqrt{32}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}28+24\sqrt{2}\end{aligned} $$ | |
| ① | $$ 7 \sqrt{16} = 7 \cdot 4 = 28 $$ |
| ② | $$ 6 \sqrt{32} =
6 \sqrt{ 4 ^2 \cdot 2 } =
6 \sqrt{ 4 ^2 } \, \sqrt{ 2 } =
6 \cdot 4 \sqrt{ 2 } =
24 \sqrt{ 2 } $$ |
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