\(\sqrt{x+5}=1+\sqrt{x}\)
ĐKXĐ : \(x\ge0\)
\(pt\Leftrightarrow x+5=\left(1+\sqrt{x}\right)^2\)
\(\Leftrightarrow x+5=x+2\sqrt{x}+1\)
\(\Leftrightarrow x+5-x-2\sqrt{x}-1=0\)
\(\Leftrightarrow-2\sqrt{x}+4=0\)
\(\Leftrightarrow\sqrt{x}=2\Rightarrow x=4\)(TMĐKXĐ)