•10√20-√45
•5√2+√32-3√8
[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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Nomor 1
[tex] \: \: \: \: \: \: \: \blue{ \sf{bentuk \: sederhana \: dari \: 10 \sqrt{20} - \sqrt{45}} : } \\ \sf{ = 10 \sqrt{20} - \sqrt{45} } \\ \sf{ = 10 \times2 \sqrt{5} - 3 \sqrt{5} } \\ \sf{ = (10 \times 2) \sqrt{5} - 3\sqrt{5} } \\ \sf{ = 20 \sqrt{5} - 3 \sqrt{5} } \\ \sf{ = (20 - 3) \sqrt{5}} \\ \sf{ = \underline{ \red{17 \sqrt{5} }}}[/tex]
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[tex] \red{•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°}[/tex]
Nomor 2
[tex] \: \: \: \: \blue{ \sf{bentuk \: sederhana \: dari \: 5 \sqrt{2} + \sqrt{32} - 3 \sqrt{8} : }} \\ \sf{ = 5 \sqrt{2} + \sqrt{32} - 3 \sqrt{8} } \\ \sf{ = 5 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} } \\ \sf{ = 5 \sqrt{2} + 4 \sqrt{2} - (3 \times 2) \sqrt{2} } \\ \sf{ = 5 \sqrt{2} + 4 \sqrt{2} - 6 \sqrt{2} } \\ \sf{ = (5 + 4) \sqrt{2} - 6 \sqrt{2} } \\ \sf{ = 9 \sqrt{2} - 6 \sqrt{2} } \\ \sf{(9 - 6) \sqrt{2}} \\ \sf{ = \underline{ \red{3 \sqrt{2}}}} [/tex]
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[tex]\red{•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°}[/tex]
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=========
[tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}[/tex]
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[tex] \colorbox{black}{ \blue{ \boxed{ \boxed{ \rm{༆@AvrilKim࿐}}}}}[/tex]
Penjelasan dengan langkah-langkah:
[tex] = 10 \sqrt{20} - \sqrt{45} [/tex]
[tex] = 10 \sqrt{ {2}^{2} .5} - \sqrt{ {3}^{2}.5 } [/tex]
[tex] = 2.10 \sqrt{5} - 3 \sqrt{5} [/tex]
[tex] = 20 \sqrt{5} - 3 \sqrt{5} [/tex]
[tex] = (20 - 3) \sqrt{5} [/tex]
[tex] = 17 \sqrt{5} [/tex]
[tex] \: [/tex]
[tex] = 5 \sqrt{2} + \sqrt{32} - 3 \sqrt{8} [/tex]
[tex] = 5 \sqrt{2} + \sqrt{ {4}^{2}.2 } - 3 \sqrt{ {2}^{2}.2 } [/tex]
[tex] = 5 \sqrt{2} + 4 \sqrt{2} - 6 \sqrt{2} [/tex]
[tex] = (5 + 4 - 6) \sqrt{2} [/tex]
[tex] = 3 \sqrt{2} [/tex]
[answer.2.content]
