Question

Please help me with question

Answer 1

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