Question

Спасайте ребят(30 б)

Answer 1

$1)\frac{1}{\sqrt{2020}-\sqrt{2019}}=\frac{1*(\sqrt{2020}+\sqrt{2019})}{(\sqrt{2020}-\sqrt{2019})(\sqrt{2020}+\sqrt{2019})}=\frac{\sqrt{2020}+\sqrt{2019}}{2020-2019}=\sqrt{2020}+\sqrt{2019}$

$2)\frac{1}{\sqrt{2019}-\sqrt{2018}}=\frac{1*(\sqrt{2019}+\sqrt{2018})}{(\sqrt{2019}-\sqrt{2018})(\sqrt{2019}+\sqrt{2018})}=\frac{\sqrt{2019}+\sqrt{2018}}{2019-2018}=\sqrt{2019}+\sqrt{2018}\\\\3)\sqrt{2019}+\sqrt{2020}>\sqrt{2019}+\sqrt{2018}\Rightarrow\\\\\frac{1}{\sqrt{2020}-\sqrt{2019}}>\frac{1}{\sqrt{2019}-\sqrt{2018}}$