If a = 2 + √3, then the value of a2 + 1

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a = 2 + √3

1	=	1
a	=	2 + √3

=	1	×	2 − √3
	2 + √3		2 − √3

=	2 − √3	= 2 − √3
	4 − 3

∴	a² +	1	=		a +	1		²	− 2
		a²				a

= (2 + √3 + 2 − √3)² − 2
= 16 – 2 = 14