a=3+2√2 then a6+a4+a2+1/a³
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Answer:
204
Step-by-step explanation:
- 2√2) + (3 - 2√2)3 = (3 + 2√2)3 + (3 - 2√2)3 + (3 + 2√2) + (3 - 2√2) =[2(3)3 + 6(3)(2√2)2] + [(32 - (2√2)2 ] [ ∵ (a + b)3 + (a - b)3 = 2a3 + 6ab2 and (a2 - b2 ) = (a+b)(a-b) ] = [54 + 144] + 6 = 198 + 6 = 204
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