SOLUTION: If x = 7 plus 4 sqrt 3 , then the value of sqrt x plus 1 divided by sqrt x is ------?

SOLUTION: If x = 7 plus 4 sqrt 3 , then the value of sqrt x plus 1 divided by sqrt x is ------?

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Question 935086: If x = 7 plus 4 sqrt 3 , then the value of sqrt x plus 1 divided by sqrt x is ------?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

x = 7 plus 4 sqrt 3
(x+1)= (8+4sqrt(3))

(x+1)^2 = (8+4sqrt(3))^2
(x+1)^2= 64 +64sqrt(3)+48
=112+64sqrt(3)
=16(7+4sqrt(3))
(x+1)^2/x = 16(7+4sqrt(3))/(7+4sqrt(3))
(x+1)^2/x = 16
(x+1)/sqrt(x) = +/- 4

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