jika 1+akar2 per 2-akar2 = a+b akar 2 maka nilai a+2b adalah
Matematika
Simi2002
Pertanyaan
jika 1+akar2 per 2-akar2 = a+b akar 2 maka nilai a+2b adalah
2 Jawaban
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1. Jawaban EdiHeaven
1 + √2 / 2 - √2 kali 2 + √2 / 2 + √2
(1+√2)(2+√2) / 4-2
2+√2+2√2+2 / 2
4 + 3√2 / 2
4/2 + 3/2√2
a = 2 dan b=3/2
a + 2b = 2 + 2(3/2)=2 + 3=5 -
2. Jawaban arsetpopeye
(1 + √2)/(2 - √2) = a + b√2
(1 + √2)/(2 - √2) . (2 + √2)/(2 + √2) = a + b√2
(2 + √2 + 2√2 + 2) / (4 - 2) = a + b√2
(4 + 3√2) / 2 = a + b√2
4/2 + 3√2/2 = a + b√2
2 + (3/2)√2 = a + b√2
a = 2 dan b = 3/2
a + 2b = 2 + 2(3/2) = 2 + 3 = 5