Question
Answer
$$\sqrt{144}+18\sqrt{12}-5\sqrt{64}=-28+36\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{144}+18\sqrt{12}-5\sqrt{64}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}12+36\sqrt{3}-40 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-28+36\sqrt{3}\end{aligned} $$ | |
| ① | $$ \sqrt{144} = 12 $$ |
| ② | $$ 18 \sqrt{12} =
18 \sqrt{ 2 ^2 \cdot 3 } =
18 \sqrt{ 2 ^2 } \, \sqrt{ 3 } =
18 \cdot 2 \sqrt{ 3 } =
36 \sqrt{ 3 } $$ |
| ③ | $$ - 5 \sqrt{64} = -5 \cdot 8 = -40 $$ |
| ④ | Combine like terms |
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