Jawaban:
13.
[tex]\frac{3(\sqrt{7 } + \sqrt{3})}{2} [/tex]
14.
[tex]\frac{3 \sqrt{5} - 7}{2} [/tex]
Penjelasan dengan langkah-langkah:
[tex] \frac{6}{ \sqrt{7 } - \sqrt{3} } = \frac{6}{ \sqrt{7 } - \sqrt{3} } \times \frac{\sqrt{7 } + \sqrt{3}}{ \sqrt{7 } + \sqrt{3} }[/tex]
[tex] = \frac{6 (\sqrt{7 } + \sqrt{3})}{7 - 3} [/tex]
[tex] = \frac{6 \times (\sqrt{7 } + \sqrt{3})}{4} [/tex]
[tex] = \frac{3(\sqrt{7 } + \sqrt{3})}{2} [/tex]
[tex] \frac{ \sqrt{5} - 3}{\sqrt{5} + 3} = \frac{\sqrt{5} - 3}{\sqrt{5} + 3} \times \frac{\sqrt{5} - 3}{\sqrt{5} - 3}[/tex]
[tex] = \frac{(\sqrt{5} - 3)( \sqrt{5} - 3 )}{5 - 9}[/tex]
[tex] = \frac{5 - 2( \sqrt{5})(3) + 9}{ - 4} [/tex]
[tex] = \frac{14 - 6 \sqrt{5} }{ - 4} [/tex]
[tex] = \frac{ - 7 + 3 \sqrt{5} }{2} [/tex]
[tex] = \frac{3 \sqrt{5} - 7}{2} [/tex]
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Jawaban:
13.
[tex]\frac{3(\sqrt{7 } + \sqrt{3})}{2} [/tex]
14.
[tex]\frac{3 \sqrt{5} - 7}{2} [/tex]
Penjelasan dengan langkah-langkah:
13.
[tex] \frac{6}{ \sqrt{7 } - \sqrt{3} } = \frac{6}{ \sqrt{7 } - \sqrt{3} } \times \frac{\sqrt{7 } + \sqrt{3}}{ \sqrt{7 } + \sqrt{3} }[/tex]
[tex] = \frac{6 (\sqrt{7 } + \sqrt{3})}{7 - 3} [/tex]
[tex] = \frac{6 \times (\sqrt{7 } + \sqrt{3})}{4} [/tex]
[tex] = \frac{3(\sqrt{7 } + \sqrt{3})}{2} [/tex]
14.
[tex] \frac{ \sqrt{5} - 3}{\sqrt{5} + 3} = \frac{\sqrt{5} - 3}{\sqrt{5} + 3} \times \frac{\sqrt{5} - 3}{\sqrt{5} - 3}[/tex]
[tex] = \frac{(\sqrt{5} - 3)( \sqrt{5} - 3 )}{5 - 9}[/tex]
[tex] = \frac{5 - 2( \sqrt{5})(3) + 9}{ - 4} [/tex]
[tex] = \frac{14 - 6 \sqrt{5} }{ - 4} [/tex]
[tex] = \frac{ - 7 + 3 \sqrt{5} }{2} [/tex]
[tex] = \frac{3 \sqrt{5} - 7}{2} [/tex]