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In Matematika / Sekolah Menengah Atas | 2025-08-18

2 √3 × ( 2√40 + √12=​

Asked by aryani005

Answer (2)

Jawaban:[tex]= 8 \sqrt{30} + 12[/tex]Penjelasan dengan langkah-langkah:[tex] = 2 \sqrt{3} \times ( 2\sqrt{40} + \sqrt{12} )[/tex][tex]= 2 \sqrt{3} \times 2\sqrt{40} + 2 \sqrt{3} \times \sqrt{12}[/tex][tex]= 4 \sqrt{3 \cdot 40} + 2 \sqrt{3 \cdot 12}[/tex][tex]= 4 \sqrt{120} + 2 \sqrt{36}[/tex][tex]= 4 \sqrt{4 \cdot 30} + 2 \cdot 6[/tex][tex]= 4 \cdot 2 \sqrt{30} + 12[/tex][tex]= 8 \sqrt{30} + 12[/tex]Semoga membantu >w<

Answered by PndzzOx | 2025-08-18

[tex](2 \sqrt{3}) \times (2 \sqrt{40} + \sqrt{12})[/tex][tex]= (2 \sqrt{3}) \times (2 \sqrt{40}) + (2 \sqrt{3}) \times (\sqrt{12})[/tex][tex]= (2 \times 2)(\sqrt{3} \times \sqrt{40}) + (2)(\sqrt{3} \times \sqrt{12})[/tex][tex]= 4 \sqrt{120} + 2 \sqrt{36} [/tex][tex]= 4 \sqrt{4 \times 30} + 2 \times 6[/tex][tex]= 4 \times 2 \sqrt{30} + 12[/tex][tex]= 8 \sqrt{30} + 12[/tex]

Answered by MaulanaAlief | 2025-08-18