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Step-by-step explanation:
using the identity, (a)²+(b)²=a²+b²+2ab
so here, x²+1/x²=(x)²+(1/x)²+(2*x*1/x)
=x²+1/x²+2
putting the values of x
(3+2√2)²+(1/3+2√2)²+2
(9+4*2)+(1/3+4*2)+2
(9+8)+(1/3+8)+2
(17)+(1+24/3)+2
17+25/3+2
51+25+6/3
82/3
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