Matematika

Pertanyaan

(akar 2 + akar 3) pangkat 2 =

2 Jawaban

  • [tex]={ \left( \sqrt { 2 } +\sqrt { 3 } \right) }^{ 2 }\\ ={ \left( \sqrt { 2 } \right) }^{ 2 }+2\cdot \sqrt { 2 } \cdot \sqrt { 3 } +{ \left( \sqrt { 3 } \right) }^{ 2 }\\ =2+2\sqrt { 6 } +3\\ =5+2\sqrt { 6 } [/tex]
  • (√2+√3)^2
    = (√2+√3)(√2+√3)
    = (√2)^2+(√2√3)+(√3√2)+(√3)^2
    = 2+(2√6)+3
    = 5+2√6

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