If n = 7 + 4 √3, then the value of √n

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n = 7 + 4√3 = 7 + 2 × 2 × √3
= 4 + 3 + 2 × 2 × √3
= (2 + √3)²
∴ √n = 2 + √3

∴	1	=	1	= 2
	√n		2 + √3

=	1	×	2 - √3	= 2 - √3
	2 + √3		2 - √3

∴ √n +	1	= 2 + √3 + 2 - √3 = 4
	√n