Question

(x +1/x)=2 then (√x+1/√x)=?​

Answer 1

Given

$\frac{x + 1}{x} = 2 \\ x + 1 = 2x \\ 2x - x = 1 \\ x = 1 \\ \sqrt{x} = 1$

To find

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

Now substituting the value of

$\sqrt{x} = 1$

We get

$\frac{ \sqrt{x} + 1 }{ \sqrt{x} } \\ = \frac{1 + 1}{1} \\ = \frac{2}{1} \\ \\ \frac{ \sqrt{x} + 1 }{ \sqrt{x} } = 2$