Answer
$$9\sqrt{192}-7\sqrt{48}=44\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9\sqrt{192}-7\sqrt{48}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}72\sqrt{3}-28\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}44\sqrt{3}\end{aligned} $$ | |
| ① | $$ 9 \sqrt{192} =
9 \sqrt{ 8 ^2 \cdot 3 } =
9 \sqrt{ 8 ^2 } \, \sqrt{ 3 } =
9 \cdot 8 \sqrt{ 3 } =
72 \sqrt{ 3 } $$ |
| ② | $$ - 7 \sqrt{48} =
-7 \sqrt{ 4 ^2 \cdot 3 } =
-7 \sqrt{ 4 ^2 } \, \sqrt{ 3 } =
-7 \cdot 4 \sqrt{ 3 } =
-28 \sqrt{ 3 } $$ |
| ③ | Combine like terms |
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