Question

зробить пожалуста спростити вирази, і звільнитися від ............​

Answer 1

$6\sqrt5+3\sqrt{20}-2\sqrt{45}=6\sqrt5+6\sqrt5-6\sqrt5=6\sqrt5\\\\(\sqrt6-\sqrt{24})\sqrt6=(\sqrt6-2\sqrt6)\sqrt6=-\sqrt6\cdot \sqrt6=-6\\\\(\sqrt6-1)^2=6+1-2\sqrt6=7-2\sqrt6\\\\(\sqrt7-\sqrt5)(\sqrt7+\sqrt5)=7-5=2\\\\\\\dfrac{14}{3\sqrt7}=\dfrac{14\sqrt7}{3\sqrt7\cdot \sqrt7}=\dfrac{14\sqrt7}{3\cdot 7}=\dfrac{2\sqrt7}{3}\\\\\dfrac{2}{\sqrt{11}+3}=\dfrac{2(\sqrt{11}-3)}{(\sqrt{11}+3)(\sqrt{11}-3)}=\dfrac{2(\sqrt{11}-3)}{11-9}=\dfrac{2(\sqrt{11}-3)}{2}=\sqrt{11}-3$