Matematika

Pertanyaan

1.akar 32 - 3akar2 + akar 98
2.5akar45 + akar 80 - 2akar25
3.akar 75 +3akar48 - akar 108
4.2akar100 - 2akar36
5.3akar8 + 4akar32 - 2akar98

Tolong di jawab yah pake carax

1 Jawaban

  • 1..
    [tex] \sqrt{32} - 3 \sqrt{2} + \sqrt{98} \\ = 4 \sqrt{2} - 3 \sqrt{2} + 7 \sqrt{2} \\ = 8 \sqrt{2} [/tex]
    2..
    [tex]5 \sqrt{45} + \sqrt{80} - 2 \sqrt{25} \\ = 5 \sqrt{9 \times 5} + \sqrt{16 \times 5} - 2(5) \\ = 15 \sqrt{5} + 4 \sqrt{5} - 10 \\ = 19 \sqrt{5} - 10[/tex]
    3...
    [tex] \sqrt{75} + 3 \sqrt{48} - \sqrt{108} \\ = \sqrt{25 \times 3} + 3 \sqrt{16 \times 3} - \sqrt{36 \times 3} \\ = 5 \sqrt{3} + 12 \sqrt{3} - 6 \sqrt{3} \\ = 11 \sqrt{3} [/tex]
    4...
    [tex]2 \sqrt{100} - 2 \sqrt{36} \\ = 2(10) - 2(6) \\ = 20 - 12 \\ 8[/tex]
    5...
    [tex]3 \sqrt{8} + 4 \sqrt{32} - 2 \sqrt{98} \\ = 3 \sqrt{4 \times 2} + 4 \sqrt{16 \times 2} - 2 \sqrt{49 \times 2} \\ = 6 \sqrt{2} + 16 \sqrt{2} - 14 \sqrt{2} \\ = 8 \sqrt{2} [/tex]


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