Beby N

23 November 2024 14:45

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Beby N

23 November 2024 14:45

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4 - akar 6 ————— = akar 6 + 2

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Fathia I

23 November 2024 17:26

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Cara 4-√6 √6-2 ------- × -------- √6+2. √6-2 4√6 - 8 - 6 + 2√6 -------------------- 6 - 4 6√6 - 14 ----------- 2 3√6 -7 Jawabannya 3√6-7


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Sumber W

Community

24 November 2024 08:21

Jawaban terverifikasi

<p>Jawaban yang tepat adalah 3√6 - 7</p><p>&nbsp;</p><p>Pembahasan :</p><p>(4 - √6)/(√6 + 2) = [(4 - √6)/(√6 + 2)] x [(√6 - 2)/(√6 - 2)]</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = [(4 - √6)(√6 - 2)]/(6 - 4)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (4√6 - 8 - 6 + 2√6)/2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (6√6 - 14)/2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2(3√6 - 7)/2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3√6 - 7</p>

Jawaban yang tepat adalah 3√6 - 7

 

Pembahasan :

(4 - √6)/(√6 + 2) = [(4 - √6)/(√6 + 2)] x [(√6 - 2)/(√6 - 2)]

                                = [(4 - √6)(√6 - 2)]/(6 - 4)

                                = (4√6 - 8 - 6 + 2√6)/2

                                = (6√6 - 14)/2

                                = 2(3√6 - 7)/2

                                = 3√6 - 7


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