If n = 7+4\sqrt3, then the value of (\sqrtn+1/\sqrtn ) is:

Algebra and Applications Test 1

Question : 13 of 40

Marks: +1, -0

n = 7+4√3

, then the value of

(√n+1/√n )

is:

Solution:

n = 7+4√3

1/n=1/{ 7+4√3}×{ 7-4√3}/{ 7-4√3}

=7-4√3

(√n+1/√n )^2=n+1/n+2

=7+4√3+7-4√3+2=16

(√n+1/√n )=4

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