2√48 + 4√27 - √108
[tex]2 \sqrt{48} + 4 \sqrt{27} - \sqrt{108} [/tex]
[tex]= 2 \sqrt{16 \times 3} + 4 \sqrt{9 \times 3} - \sqrt{36 \times 3} [/tex]
[tex]= 2 \times 4 \sqrt{3} + 4 \times 3 \sqrt{3} - 6 \sqrt{3} [/tex]
[tex]= 8 \sqrt{3} + 12 \sqrt{3} - 6 \sqrt{3} [/tex]
[tex]= (8 + 12 - 6) \sqrt{3} = 14 \sqrt{3} [/tex]
[tex]\large{ \colorbox{lavender}{ \purple{ \boxed{ \green{ \star{ \purple{ \rm{«Penyelesaian \: Soal»: \green{ \star}}}}}}}}}[/tex]
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[tex]\huge{ \purple{ \mathfrak{♡Pembahasan♡ : }}}[/tex]
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[tex] \begin{gathered} \boxed{ \boxed{ \begin{aligned} \underline{ \blue{ \sf{2 \sqrt{48} + 4 \sqrt{27} - \sqrt{108} }}} \\ \sf{ = 2 \times \sqrt{16 \times 3} + 4 \times \sqrt{9 \times 3} - \sqrt{36 \times 3} } \\ \sf{ = 2 \times \sqrt{ {4}^{2} \times 3} + 4 \times \sqrt{ {3}^{2} \times 3} - \sqrt{ {6}^{2} \times 3 } } \\ \sf{ = 2 \times 4 \sqrt{3} + 4 \times 3 \sqrt{3} - 6 \sqrt{3} } \\ \sf{ =8 \sqrt{3} + 12 \sqrt{3} - 6 \sqrt{3} } \\ \sf{ = (8 + 12) \sqrt{3} - 6 \sqrt{3} } \\ \sf{ = 20 \sqrt{3} - 6 \sqrt{3} } \\ \sf{ = (20 - 6) \sqrt{3} } \\ \sf{ = \underline{ \red{14 \sqrt{3} }}}\end{aligned}}} \end{gathered}[/tex]
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[tex]\colorbox{black} { \blue{ \boxed{ \boxed{\rm\color{FF6666}{༆@}\color{FFB266}{O}\color{B2FF66}{n}\color{66FF66}{l}\color{66FFFF}{y}\color{66B2FF}{Y}\color{6666FF}{o}\color{B266FF}{o}\color{FF66FF}{j}\color{FF66B2}{i}\color{FF9999}{n}\color{FFCC99}{࿐}}}}}[/tex]
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