jika m=4+2√3 dan n=4-2√3 berapa nilai m² +n²
Matematika
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Pertanyaan
jika m=4+2√3 dan n=4-2√3 berapa nilai m² +n²
1 Jawaban
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1. Jawaban Diahfa
m=4+2√3
n=4-2√3
[tex] {m}^{2} + {n}^{2} \\ = {(4 +2 \sqrt{3}) }^{2} + {(4 - 2 \sqrt{3}) }^{2} \\ = (4 + 2 \sqrt{3} )(4 + 2 \sqrt{3} ) + (4 - 2 \sqrt{3})(4 - 2 \sqrt{3} ) \\ = 16 + 8 \sqrt{3} + 8 \sqrt{3} + 12 + (16 - 8 \sqrt{3} - 8 \sqrt{3} + 12 \\ = 16 + 16 \sqrt{3} + 12 + 16 - 16 \sqrt{3 } + 12 \\ = 32 + 24 \\ = 56[/tex]