Question

Rút gọn: A= \(\frac{2x+2\left(\sqrt{x}+2\right)+2\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\)( x>=0;x khác 4) (ko được khử mẫu)

Answer 1

\(\frac{2x+2\left(\sqrt{x}+2\right)+2\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\frac{2\left(x+\sqrt{x}+2+\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\frac{2\left(x+2\sqrt{x}\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\frac{2\sqrt{x}\left(\sqrt{x}+2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\frac{2\sqrt{x}}{\sqrt{x}-2}\)