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or,. (a+1/a)²=3
or,. a+1/a=√3
or,. since,. a+1/a=√3
cubing both sides
or,. (a+1/a)³= 3√3
or,. a³+1/a³+3a²×1/a+3a×1/a²=3√3
or,. a³+1/a³+3a×1/a( a+1/a)=3√3
or,. a³+1/a³+3(√3)=3√3
or, a³+1/a³=3√3-3√3
or, a³+1/a³=0
hence proved...... ans
or,. a+1/a=√3
or,. since,. a+1/a=√3
cubing both sides
or,. (a+1/a)³= 3√3
or,. a³+1/a³+3a²×1/a+3a×1/a²=3√3
or,. a³+1/a³+3a×1/a( a+1/a)=3√3
or,. a³+1/a³+3(√3)=3√3
or, a³+1/a³=3√3-3√3
or, a³+1/a³=0
hence proved...... ans
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