Jawab:
6) [b] [tex]4\sqrt{3} +2\sqrt{2}[/tex]
7) [b] [tex]6\sqrt{5} -50[/tex]
8) [c] [tex]\frac{1}{3} \sqrt{6}[/tex]
Penjelasan dengan langkah-langkah:
6) [tex]10\sqrt{3} - 2\sqrt{3} - 4\sqrt{3}+2\sqrt{2}[/tex]
= [tex]10-2-4\sqrt{3} + 2\sqrt{2}[/tex]
= [tex]4\sqrt{3} +2\sqrt{2}[/tex]
7)[tex]\sqrt{5}(6-5\sqrt{20})[/tex]
= [tex]\sqrt{5}(6-5\sqrt{4}\sqrt{5} )[/tex]
= [tex]\sqrt{5}(6-5x2\sqrt{5} )[/tex]
= [tex]\sqrt{5}(6-10\sqrt{5} )[/tex] [tex](Kalikan Setiap Suku dengan \sqrt{5})[/tex]
= [tex]6\sqrt{5}-\sqrt{5} x 10\sqrt{5}[/tex]
= [tex]6\sqrt{5}-10\sqrt{5}^{2}[/tex]
= [tex]6\sqrt{5}-10x5[/tex] [tex](\sqrt{x} Hilang Karena [x^{2}] )[/tex]
= [tex]6\sqrt{5}-50[/tex]
8) [tex]\sqrt{20}:\sqrt{30}[/tex]
= [tex]\sqrt{ \frac{20}{30}}[/tex](:10)
= [tex]\sqrt{ \frac{2}{3}}[/tex]
= [tex]\frac{\sqrt{2}}{\sqrt{3} }[/tex]
= [tex]\frac{\sqrt{2}}{\sqrt{3} }x\frac{\sqrt{3}}{\sqrt{3} }[/tex]
= [tex]\frac{\sqrt{2}\sqrt{3} }{\sqrt{3}\sqrt{3} }[/tex]
= [tex]\frac{\sqrt{6} }{3} atau \frac{1}{3} \sqrt{6}[/tex]
Pelajari Lebih Lanjut
- Soal Pecahan (Penjumlahan) : brainly.co.id/tugas/51899106
- Soal Satuan Liter dan Jam : brainly.co.id/tugas/51899364
- Soal Penjumlahan Akar Kuadrat : brainly.co.id/tugas/518996863
Detail Jawaban
- Mapel : Matematika
- Kelas : VII
- Materi : Merasionalkan Akar Kuadrat
- Kode Kategorisasi : 3.2.3