Question

rasionalkan penyebut pecahan bilangan bilangan berikut ini!
1. [tex] \frac{ \sqrt{2} }{4 - 3 \sqrt{3} } [/tex]
2. [tex] \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } [/tex]
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Answer 1

Jawaban:

[tex] \frac{ \sqrt{2} }{4 - 3 \sqrt{3} } \\ = \frac{ \sqrt{2} }{4 - 3 \sqrt{3} } \times \frac{4 + 3 \sqrt{3} }{4 + 3 \sqrt{3} } \\ = \frac{ \sqrt{2}(4 + 3 \sqrt{3}) }{( 4 - 3 \sqrt{3}) \times (4 + 3 \sqrt{3}) } \\ = \frac{4 \sqrt{2} + 3 \sqrt{6} }{16 - 9 \times 3} \\ = \frac{4 \sqrt{2} + 3 \sqrt{6} }{16 - 27} \\ = \frac{4 \sqrt{2} + 3 \sqrt{6} }{ - 11} \\ = - \frac{4 \sqrt{2} + 3 \sqrt{6} }{ 11} [/tex]

semoga paham ya :)