Seral S

23 Agustus 2023 15:26

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Seral S

23 Agustus 2023 15:26

Pertanyaan

Yang tau mohon dibantu ya, Rasionalkan penyebut dari pecahan akar berikutπŸ˜„πŸ˜„πŸ˜„πŸ˜„

Yang tau mohon dibantu ya, Rasionalkan penyebut dari pecahan akar berikutπŸ˜„πŸ˜„πŸ˜„πŸ˜„

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Jawaban terverifikasi

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Vincent M

Community

23 Agustus 2023 15:38

Jawaban terverifikasi

<p>(2√3+3√2)/(√3+√2)</p><p>=((2√3+3√2)Γ—(√3-√2))/((√3+√2)Γ—(√3-√2))&nbsp;</p><p>=(6-2√6+3√6-6)/(3-2)&nbsp;</p><p>=√6/1</p><p>=√6</p>

(2√3+3√2)/(√3+√2)

=((2√3+3√2)Γ—(√3-√2))/((√3+√2)Γ—(√3-√2)) 

=(6-2√6+3√6-6)/(3-2) 

=√6/1

=√6


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Sumber W

Community

23 Agustus 2023 19:31

Jawaban terverifikasi

<p>(2√3 + 3√2) / (√3 + √2) = (2√3 + 3√2) / (√3 + √2) x &nbsp;(√3 - √2) / (√3 - √2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = &nbsp;[(2√3 + 3√2)(√3 - √2)]/(3 - 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (2√3 + 3√2)(√3 - √2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6 - 2√6 + 3√6 - 6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3√6 - 2√6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = √6</p>

(2√3 + 3√2) / (√3 + √2) = (2√3 + 3√2) / (√3 + √2) x  (√3 - √2) / (√3 - √2)

                                              =  [(2√3 + 3√2)(√3 - √2)]/(3 - 2)

                                              = (2√3 + 3√2)(√3 - √2)

                                              = 6 - 2√6 + 3√6 - 6

                                              = 3√6 - 2√6

                                              = √6


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