Mufidah W

29 September 2023 14:48

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Mufidah W

29 September 2023 14:48

Pertanyaan

Merasionalkan bentuk akar 3√2 - 2 / 3 - 2√2

Merasionalkan bentuk akar 3√2 - 2 / 3 - 2√2

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Sumber W

Community

29 September 2023 15:13

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<p>(3√2 - 2) / (3 - 2√2) = [(3√2 - 2) / (3 - 2√2)] x [(3 + 2√2) / (3 + 2√2)]</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= [(3√2 - 2)(3 + 2√2)] / 9 - 8</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= [9√2 + 12 - 6 - 4√2]/1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 + 5√2</p><p>&nbsp;</p><p>Ingat!</p><ul><li>√a x √a = a</li><li>a<sup>2</sup> - b<sup>2</sup> = (a + b)(a - b)</li></ul>

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

                                       = [(3√2 - 2)(3 + 2√2)] / 9 - 8

                                       = [9√2 + 12 - 6 - 4√2]/1

                                       = 6 + 5√2

 

Ingat!

  • √a x √a = a
  • a2 - b2 = (a + b)(a - b)

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Nanda R

Community

29 September 2023 20:03

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