Question

Mn giúp em với ạ

Answer 1

đk x >= 0 ; x khác 1 

a, \(P=\left(\dfrac{x+2\sqrt{x}-x-\sqrt{x}-1}{x\sqrt{x}-1}\right):\left(\dfrac{x+\sqrt{x}+1-\sqrt{x}-2}{x+\sqrt{x}+1}\right)=\dfrac{1}{x+\sqrt{x}+1}:\left(\dfrac{x-1}{x+\sqrt{x}+1}\right)=\dfrac{1}{x-1}\)

b, Ta có \(\sqrt{P}=\dfrac{1}{\sqrt{x-1}}=\dfrac{1}{\sqrt{4+2\sqrt{3}}}=\dfrac{1}{\sqrt{3}+1}=\dfrac{\sqrt{3}-1}{2}\)