Penjelasan dengan langkah-langkah:
a)
[tex] \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]
b)
[tex] \frac{15}{4 \sqrt{3} } = \frac{15}{4 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{15 \sqrt{3} }{4 \times 3} = \frac{5}{4} \sqrt{3} [/tex]
c)
[tex] \frac{9}{2 + \sqrt{5} } = \frac{9}{2 + \sqrt{5} } \times \frac{2 - \sqrt{5} }{2 - \sqrt{5} } = \frac{9(2 - \sqrt{5}) }{4 - 5} = - 9(2 - \sqrt{5} ) = - 18 + 9 \sqrt{5}[/tex]
d)
[tex]\frac{2 \sqrt{2} + 6}{2 \sqrt{2} - 6 } = \frac{2 \sqrt{2} + 6}{2 \sqrt{2} - 6 } \times \frac{2 \sqrt{2} + 6}{2 \sqrt{2} + 6} = \frac{ {(2 \sqrt{2} + 6) }^{2} }{4 \times 2 - 36} = \frac{ {(2 \sqrt{2} + 6) }^{2} }{ - 28} = \frac{8 +24 \sqrt{2} + 36 }{ - 28} = \frac{44 + 24 \sqrt{2} }{ - 28} = - \frac{1}{28} (44 + 24 \sqrt{2} )[/tex]
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