Question

Prove that √x^-1y+√y^-1z+√z^-1x=1

Answer 1

Answer:

$\sqrt{x { - }^{1} y} + \sqrt{y { - }^{1}z } + \sqrt{z { - }^{1}x } = 1 \\ \\ \sqrt{ \frac{1}{x} \times y } \: + \sqrt{ \frac{1}{y} \times z} \: + \sqrt{ \frac{1}{z} \times x} = 1 \\ \\ \sqrt{ \frac{y}{x} } + \sqrt{ \frac{z}{y} } + \sqrt{ \frac{x}{z } } = 1 \\ </strong></p><p><strong>1 = 1.....ans$