.If x = 3+2√2, find the value of x^2 + 1/x^2
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x=3+2√2
1/x=1/3+2√2*3-2√2/3+2√2
=3-2√2/9-8=3-2√2
x+1/x=3+2√2+3-2√2
=6
x+1/x=6
square on both sides
x^2+2+(1/x)^2=36
x^2+1/x^2=34
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