Addina A

13 Agustus 2023 22:38

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Addina A

13 Agustus 2023 22:38

Pertanyaan

undefined (3sqrt(5)+4sqrt(2))^(2)

undefined (3sqrt(5)+4sqrt(2))^(2)

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52

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Tri W

Level 12

14 Agustus 2023 02:29

Jawaban terverifikasi

(3√5+4√2)²= 3²(√5)²+4²(√2)²+3√5.4√2.2 = 9.5+16.2+24√10 = 45+32+24√10 =77+24√10


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Sumber W

Community

Level 72

14 Agustus 2023 00:58

<p>(2√5 + 4√2)<sup>2</sup> = (2√5 + 4√2)(2√5 + 4√2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2√5 (2√5 + 4√2) + 4√2 (2√5 + 4√2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 20 + 8√10 + 8√10 + 32</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 52 + 16√10</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4(13 + 4√10)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>

(2√5 + 4√2)2 = (2√5 + 4√2)(2√5 + 4√2)

                          = 2√5 (2√5 + 4√2) + 4√2 (2√5 + 4√2)

                          = 20 + 8√10 + 8√10 + 32

                          = 52 + 16√10

                          = 4(13 + 4√10)

                          


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