Virna V

11 November 2024 08:19

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Virna V

11 November 2024 08:19

Pertanyaan

sederhanakan 8/√6 + √2

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Amriza A

11 November 2024 08:22

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Sumber W

Community

11 November 2024 08:28

Jawaban terverifikasi

<p>Jawaban yang tepat adalah 1/3(4√6 + 3√2)</p><p>&nbsp;</p><p>Pembahasan :</p><p>8/√6 + √2 = 8/√6 + √12/√6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (8 + √12)/√6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (8 + √12)/√6 &nbsp;x √6/√6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= √6(8 +√12)/6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (8√6 + √72)/6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (8√6 + √(36 x 2))/6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (8√6 + 6√2)/6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2(4√6 + 3√2)/6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (4√6 + 3√2)/3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 1/3(4√6 + 3√2)</p>

Jawaban yang tepat adalah 1/3(4√6 + 3√2)

 

Pembahasan :

8/√6 + √2 = 8/√6 + √12/√6

                     = (8 + √12)/√6

                     = (8 + √12)/√6  x √6/√6

                     = √6(8 +√12)/6

                     = (8√6 + √72)/6

                     = (8√6 + √(36 x 2))/6

                     = (8√6 + 6√2)/6

                     = 2(4√6 + 3√2)/6

                     = (4√6 + 3√2)/3

                     = 1/3(4√6 + 3√2)


E. Nur

12 November 2024 00:40

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