Penjelasan dengan langkah-langkah:
8.
X = 4 + √2
Y = 4 - √2
Maka
[tex]2x + 3y \\ = 2.4 + \sqrt{2} + 3.4 - \sqrt{2} \\ = 8 + \sqrt{2} + 12 - \sqrt{2} \\ = (8 + 12) \sqrt{2} - \sqrt{2} \\ = 20[/tex]
9.
[tex]a).2 \sqrt{3} \times 3 \sqrt{2} \\ = \sqrt{4 \times 3} \times \sqrt{9 \times 2} \\ = \sqrt{12} \times \sqrt{18} \\ = \sqrt{12 \times 18} \\ = \sqrt{216} \\ = \sqrt{9 \times 24} \\ = 3 \sqrt{4 \times 6} \\ = 3 \times 2 \sqrt{6} \\ = 6 \sqrt{6} [/tex]
[tex]b).5 \sqrt{2} \times (3 \sqrt{2} - \sqrt{3} ) \\ = 12 \sqrt{4} - 5 \sqrt{6} \\ = 12 \times 2 - 5 \sqrt{6} \\ = 24 - 5 \sqrt{6} [/tex]
[tex]c).(2 \sqrt{5} + 4 \sqrt{3} ) \times 5 \sqrt{2} \\ = 10 \sqrt{5 \times 2} + 20 \sqrt{3 \times 2} \\ = 10 \sqrt{10} + 20 \sqrt{6} \\ = 10( \sqrt{10} + 2 \sqrt{6} )[/tex]
10.
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