Penjelasan dengan langkah-langkah:
Perlu diketahui
[tex] \sqrt{(a + b) \: + 2 \sqrt{ab} } = \sqrt{a} + \sqrt{b} [/tex]
[tex] \sqrt{14 + 6 \sqrt{5} } - \sqrt{14 - 6 \sqrt{5} } \\ = \sqrt{(9 + 5) + 6 \sqrt{5} } - \sqrt{(9 + 5) - 6 \sqrt{5} } \\ = \sqrt{(9 + 5) + 2 \times 3 \sqrt{5} } - \sqrt{(9 + 5) - 2 \times 3 \sqrt{5} } \\ = \sqrt{(9 + 5) + 2 \sqrt{9 \times 5} } - \sqrt{(9 + 5) - 2 \sqrt{9 \times 5} } \\ = \sqrt{9} + \sqrt{5} - \sqrt{9} - \sqrt{5} \\ = 3 + \sqrt{5} - 3 - \sqrt{5} \\ = (3 - 3) + \sqrt{5} - \sqrt{5} \\ = 0[/tex]
Jawabannya 0, no Opsi...
mohon maaf apabila ada kesalahan.
[tex]\boxed{\colorbox{black}{\sf\color{red}{\:Answer by: DARKMOON\:}}}[/tex]
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Penjelasan dengan langkah-langkah:
Perlu diketahui
[tex] \sqrt{(a + b) \: + 2 \sqrt{ab} } = \sqrt{a} + \sqrt{b} [/tex]
[tex] \sqrt{14 + 6 \sqrt{5} } - \sqrt{14 - 6 \sqrt{5} } \\ = \sqrt{(9 + 5) + 6 \sqrt{5} } - \sqrt{(9 + 5) - 6 \sqrt{5} } \\ = \sqrt{(9 + 5) + 2 \times 3 \sqrt{5} } - \sqrt{(9 + 5) - 2 \times 3 \sqrt{5} } \\ = \sqrt{(9 + 5) + 2 \sqrt{9 \times 5} } - \sqrt{(9 + 5) - 2 \sqrt{9 \times 5} } \\ = \sqrt{9} + \sqrt{5} - \sqrt{9} - \sqrt{5} \\ = 3 + \sqrt{5} - 3 - \sqrt{5} \\ = (3 - 3) + \sqrt{5} - \sqrt{5} \\ = 0[/tex]
Jawabannya 0, no Opsi...
mohon maaf apabila ada kesalahan.
semoga bermanfaat
[tex]\boxed{\colorbox{black}{\sf\color{red}{\:Answer by: DARKMOON\:}}}[/tex]