Question

a-2√a+3 / a-3
БУДУ БЛАГОДАРНА ЗА ПОМОЩЬ ​

Answer 1

$\frac{a-2\sqrt{3a}+3 }{a-3}=\frac{(\sqrt{a})^{2}-2\sqrt{3a} +(\sqrt{3})^{2}}{(\sqrt{a})^{2}-(\sqrt{3})^{2}}=\frac{(\sqrt{a}-\sqrt{3})^{2}}{(\sqrt{a}-\sqrt{3})(\sqrt{a}+\sqrt{3})}=\\\\=\boxed{\frac{\sqrt{a}-\sqrt{3}}{\sqrt{a}+\sqrt{3}} }$