A. √2/√3 B. 2√5/√3 C. 15/2√5 D. 10/√13+√8 Tolong dong
Matematika
taniamawarti71
Pertanyaan
A. √2/√3
B. 2√5/√3
C. 15/2√5
D. 10/√13+√8
Tolong dong
B. 2√5/√3
C. 15/2√5
D. 10/√13+√8
Tolong dong
1 Jawaban
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1. Jawaban anggidwi318
[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt{6} }{3} [/tex]
[tex] \frac{ {2 \sqrt{5} } }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{2 \sqrt{15} }{3} [/tex]
[tex] \frac{15}{2 \sqrt{5} } \times \frac{2 \sqrt{5} }{2 \sqrt{5} } = \frac{30 \sqrt{5} }{4 \times 5 } = \frac{30 \sqrt{5} }{20} = \frac{3 \sqrt{5} }{2} [/tex]
[tex] \frac{10}{ \sqrt{13} + \sqrt{8} } \times \frac{ \sqrt{13 } - \sqrt{8} }{ \sqrt{13} - \sqrt{8} } = \frac{10 \sqrt{13} - 10 \sqrt{8} }{13 - 8} = > \frac{10 \sqrt{13} - 10 \sqrt{8} }{5} = > \frac{2 \sqrt{15} - 2 \sqrt{8} }{1} [/tex]