Hitunglah: [tex]\displaystyle \left ( \sqrt{2}+1 \right )^6+\left ( \sqrt{2}-1 \right )^6[/tex]
Matematika
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Pertanyaan
Hitunglah:
[tex]\displaystyle \left ( \sqrt{2}+1 \right )^6+\left ( \sqrt{2}-1 \right )^6[/tex]
[tex]\displaystyle \left ( \sqrt{2}+1 \right )^6+\left ( \sqrt{2}-1 \right )^6[/tex]
2 Jawaban
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1. Jawaban wilsonrubik123
(√2 + 1)^6 + (√2 - 1)^6 =
(√2 + 1)(√2 + 1)(√2 + 1)(√2 + 1)(√2 + 1)(√2 + 1) + (√2 - 1)(√2 - 1)(√2 - 1)(√2 - 1)(√2 - 1)(√2 - 1) =
(99 + 70√2) + (99 - 70√2) =
(4 + 4√2 + 2 + 4√2 + 8 + 2√2 + 2 + 2√2 + 1 + 8 + 8√2 + 4 + 8√2 + 16 + 4√2 + 4√2 + 2 + 8√2 + 16 + 4√2 + 16 + 16√2 + 8 + 4√2 + 8 + 2√2) + (4 - 4√2 + 2 - 4√2 + 8 - 2√2 + 2 - 2√2 + 1 + 8 - 8√2 + 4 - 8√2 + 16 - 4√2 - 4√2 + 2 - 8√2 + 16 - 4√2 + 16 - 16√2 + 8 - 4√2 + 8 - 2√2 =
99 + 70√2 + 99 - 70√2 =
99 + 99 =
198 -
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