9√2 + √72 – √578 =
Penjelasan dengan langkah-langkah:
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[tex]\sf 9\sqrt{2} + \sqrt{72} - \sqrt{578}[/tex]
[tex]= \sf 9\sqrt{2} + \sqrt{36 \times 2} - \sqrt{289 \times 2}[/tex]
[tex]= \sf 9\sqrt{2} + \sqrt{6^2 \times 2} - \sqrt{17^2 \times 2}[/tex]
[tex]= \sf 9\sqrt{2} + 6\sqrt{2} - 17\sqrt{2}[/tex]
[tex]= \sf (9 + 6 - 17)\sqrt{2}[/tex]
[tex]= \sf - 2\sqrt{2}[/tex]
[tex] \large{ \colorbox{lavender}{ \purple{ \boxed{ \green{ \star{ \purple{ \rm{«Penyelesaian \: Soal» \ \\ : { \green{ \star}}}}}}}}}}[/tex]
[tex] \: [/tex]
[tex]\huge{ \purple{ \mathfrak{ ♡Pembahasan♡ : }}}[/tex]
[tex] \: [/tex]
- [tex]\large{\color{magenta}\mathbb{↓ JAWABAN : }}[/tex]
[tex] \: \: \: \: \blue { \sf{menyederhanakan \: bentuk \: akar : }} \\ \sf{ = 9 \sqrt{2} + \sqrt{72} - \sqrt{578} } \\ \sf{ = 9 + 6\sqrt{2} + 17 \sqrt{2} } \\ \sf{ = (9 + 6 - 17) \sqrt{2} } \\ \sf{ = (15 - 17) \sqrt{ 2} } \\ \sf{ = } \: \underline {\red{ \sf{ - 2 \sqrt{2} }}}[/tex]
[tex] \: [/tex]
- [tex]\large{\color{cyan}\mathbb{↓ KESIMPULAN : }}[/tex]
[tex]\sf{9\sqrt{2} + \sqrt{72} - \sqrt{578} = \underline{\boxed{\red{\rm{-2\sqrt{2}}}}}}[/tex]
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[tex] \colorbox{black}{ \blue{ \boxed{ \boxed{ \rm{@AvrilKim}}}}}[/tex]
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