√24 × √72 =
Jawaban:
√24 × √72
√4 . √6 × √36 . √2
2√6 × 6√2
12√12
12 . √4 . √3
24√3 ✓
[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] \: \: \: \: \: \: \: \: {\colorbox{yellow}{\sf{Bentuk~Akar}}}[/tex]
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[tex] \sf{ = \sqrt{24} \times \sqrt{72} } \\ \sf{ = \sqrt{4 \times 6} \times \sqrt{36 \times 2} } \\ \sf{ = \sqrt{ {2}^{2} \times 6} \times \sqrt{ {6}^{2} \times 2} } \\ \sf{ = 2 \sqrt{6} \times 6 \sqrt{2} } \\ \sf{ = (2 \times 6) \sqrt{6 \times 2} } \\ \sf{ = 12 \sqrt{12} } \\ \sf{ = 12 \times \sqrt{4 \times 3} } \\ \sf{ =12 \times \sqrt{ {2}^{2} \times 3} } \\ \sf{ = 12 \times 2 \sqrt{3} } \\ \sf{ = \underline{ \boxed{ \red{ \bf{24 \sqrt{3} }}}}}[/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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