Matematika

Pertanyaan

Hitunglah
A.2`5+2`6
B.(√3+√2)²
C.5/√2+√3

1 Jawaban

  • a.
    [tex] {2}^{5} + {2}^{6} \\ = 32 + 64 \\ = 96[/tex]
    b.
    [tex] {( \sqrt{3} + \sqrt{2}) }^{2} \\ = 3 + 2 \sqrt{6} + 2 \\ = 5 + 2 \sqrt{6} [/tex]
    c.
    [tex] \frac{5}{ \sqrt{2} + \sqrt{3} } \\ = \frac{5}{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} } \\ = \frac{5 \sqrt{2} - 5 \sqrt{3} }{2 - 3} \\ = - 5 \sqrt{2} + 5 \sqrt{3} \\ = 5 \sqrt{3} - 5 \sqrt{2} [/tex]

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