Question

X=2/2+√3 then √x+1/√x = ?

Answer 1

1.16

Step-by-step explanation:

X = 2/2 + $\sqrt{3}$

X = 1 + 1.73

X = 2.73

then by putting the value of X in the Equation  

$\sqrt{x+1} / \sqrt{x}$

$\sqrt{2.73+1} / \sqrt{2.73}$

$\sqrt{3.73} / \sqrt{2.73}$

1.93/1.65

1.16 Answer

Answer 2

√x  +  1/√x  =  √ ( 7  - 3√3/2)  if x = 2 /(2 + √3)

Step-by-step explanation:

Let say

√x  +  1/√x  = A

Squaring both sides

=> x  +  1/x  + 2  = A²

x = 2 /(2 + √3)

=> x = 2(2 - √3)/(2 + √3)(2 - √3)

=> x = 2(2 - √3) /(4 - 3)

=> x = 2(2 - √3)

=> x = 4 - 2√3

1/x  = (2 + √3)/2

=> 1/x = 1 + √3/2

A² = 4 - 2√3  + 1 + √3/2 + 2

=> A² = 7  - 3√3/2

=> A = √ ( 7  - 3√3/2)

=> √x  +  1/√x  =  √ ( 7  - 3√3/2)

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