sederhanakanlah! a d e f g
Matematika
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Pertanyaan
sederhanakanlah!
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1 Jawaban
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1. Jawaban jeffreydarmawanjd
a.
[tex] \sqrt{128p^{6}q^{4}} = 8p^{3}q^{2} \sqrt{2} [/tex]
d.
[tex] \frac{ 18\sqrt{15} }{3 \sqrt{5} } \\ = \frac{ 18\sqrt{15} }{3 \sqrt{5} } .\frac{ \sqrt{5} }{\sqrt{5} } \\ = \frac{ 18\sqrt{75} }{3 \sqrt{25} } \\ = \frac{ 18.5\sqrt{3} }{3.5 } \\ = 6\sqrt{3} [/tex]
e.
[tex]2a \sqrt{50} + \sqrt{98a^{2}} - 6a\sqrt{48} \\ = 2a \sqrt{25.2} + \sqrt{49.2a^{2}} - 6a\sqrt{16.3} \\ = 2.5a \sqrt{2} + 7a\sqrt{2} - 6.4a\sqrt{3} \\ = 10a \sqrt{2} + 7a\sqrt{2} - 24a\sqrt{3} \\ = 17a \sqrt{2} - 24a\sqrt{3} \\ = (17 \sqrt{2} - 24\sqrt{3})a[/tex]
f.
[tex]2 \sqrt{12} + 7 \sqrt{48} + 2 \sqrt{108} \\ = 2 \sqrt{4.3} + 7 \sqrt{16.3} + 2 \sqrt{36.3} \\ = 2.2 \sqrt{3} + 7.4 \sqrt{3} + 2.6 \sqrt{3} \\ = 4 \sqrt{3} + 28 \sqrt{3} + 12 \sqrt{3} \\ = 44 \sqrt{3} [/tex]
g.
[tex]8p \sqrt[3]{24p^{3}} + 4p \sqrt[3]{54p^{3}} - p \sqrt[3]{375p^{3}} \\ = 8p \sqrt[3]{8.3p^{3}} + 4p \sqrt[3]{27.2p^{3}} - p \sqrt[3]{125.3p^{3}} \\ = 8.2p^{2} \sqrt[3]{3} + 4.3p^{2} \sqrt[3]{2} - 5p^{2} \sqrt[3]{3} \\ = 16p^{2} \sqrt[3]{3} + 12p^{2} \sqrt[3]{2} - 5p^{2} \sqrt[3]{3} \\ = 11p^{2} \sqrt[3]{3} + 12p^{2} \sqrt[3]{2} \\ = (11 \sqrt[3]{3} + 12 \sqrt[3]{2})p^{2}[/tex]