If x = 3 + 2√2 , the value of x2 + 1 is x2

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x = 3 + 2√2

∴	1	=	1
	x		3 + 2√2

=	1	×	3 − 2√2
	3 + 2√2		3 − 2√2

=	3 − 2√2
	9 − 8

= 3 − 2√2

x +	1	= 3 + 2√2 + 3 − 2√2 = 6
	x

∴	x² +	1	=		x +	1		²	− 2
		x²				x

= (6)² – 2 = 36 – 2 = 34