Question

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

Answer 1

$frac{x+1}{2 sqrt{x-1} } + sqrt{x-1} = frac{(x+1)*2 (sqrt{x-1})^2 }{2 sqrt{x-1} } = frac{x+1+2x-2}{2 sqrt{x-1}} = frac{3x-1}{2 sqrt{x-1}}$