Matematika

Pertanyaan

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

1 Jawaban


  • [tex]a. {2}^{5} + {2}^{6} = 32 + 64 \\ = 96 \\ b.( \sqrt{3} + \sqrt{2} ) ^{2} = ( \sqrt{3} ^{2} ) + ( \sqrt{2} ^{2} ) \\ = 3 + 2 \\ = 5 \\ c. [/tex]
    [tex][tex]a. {2}^{5} + {2}^{6} = 32 + 64 \\ = 96 \\ b.( \sqrt{3} + \sqrt{2} ) ^{2} = ( \sqrt{3} ^{2} ) + ( \sqrt{2} ^{2} ) \\ = 3 + 2 \\ = 5 \\ c. \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 + \sqrt{3)} } }{ (\sqrt{2) ^{2} - ( \sqrt{3} }) ^{2} } \\ = \frac{5 \sqrt{2 + \sqrt{3} } }{2 - 3} \\ = \frac{5 \sqrt{2 + \sqrt{3} } }{ - 1} \\ = - 5 \sqrt{2 + \sqrt{3} } [/tex]

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