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*If x = 1 + √2, then show that : ( x - 1/x) whole cube = 8 |
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Answer» Step-by-step EXPLANATION: ( x - 1/x)^3 = ( 1 + √2 - ( 1 / (1+√2) ) )^3 =( 1 + √2 - ( 1 / (√2+1))((√2-1)/(√2-1)))^3 =(1+√2-((√2-1)/(((√2)^2)-(1^2))))^3 =(1+√2-√2+1)^3 =2^3 =8 [ SHOWED] |
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