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Jawaban:
d. 24√3
e. 4√3 + 3√2
f. -109
Penjelasan dengan langkah-langkah:
d.
[tex]4 \sqrt{48} - 5 \sqrt{12} + 6 \sqrt{27} \\ = 4 \sqrt{16 \times 3} - 5 \sqrt{4 \times 3} + 6 \sqrt{9 \times 3} \\ = 4 \times 4 \sqrt{3} - 5 \times 2 \sqrt{3} + 6 \times 3 \sqrt{3} \\ = 16 \sqrt{3} - 10 \sqrt{3} + 18 \sqrt{3} \\ = 24 \sqrt{3} [/tex]
e.
[tex] \sqrt{3} (4 + \sqrt{6} ) \\ = 4 \sqrt{3} + \sqrt{18} \\ = 4 \sqrt{3} + \sqrt{9 \times 2} \\ = 4 \sqrt{3} + 3 \sqrt{2} [/tex]
f.
[tex](4 + 5 \sqrt{5} )(4 - 5 \sqrt{5} ) \\ = 16 - 20 \sqrt{5} + 20 \sqrt{5} - 125 \\ = - 109[/tex]
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