Answer
$8-2\sqrt 2$
Work Step by Step
$\int^8_1 \sqrt {\frac{2}{x}} dx $
$\sqrt 2 \int^8_1 x^{-1/2} dx$, Rewrite
$ 2\sqrt 2 x^{1/2}$ , Integrate
$ {2\sqrt 2 x^{1/2}}]^8_1 $, Definite Integral Form
$(4\sqrt 4) - (2\sqrt 2)$, Take Definite Integral
$8-2\sqrt 2$, Simplify
