Question

Избавьтесь от иррациональности в знаменателе

Answer 1

$1)\frac{9}{3\sqrt{3}-\sqrt{2}}=\frac{9(3\sqrt{3}+\sqrt{2})}{(3\sqrt{3}-\sqrt{2})(3\sqrt{3} +\sqrt{2})}=\frac{9(3\sqrt{3}+\sqrt{2})}{(3\sqrt{3})^{2}-(\sqrt{2})^{2}}=\frac{9(3\sqrt{3}+\sqrt{2})}{27-2}=\frac{9(3\sqrt{3}+\sqrt{2}}{25}$

$2)\frac{12}{\sqrt{5}-\sqrt{8}}=\frac{12*(\sqrt{5}+\sqrt{8})}{(\sqrt{5}-\sqrt{8})(\sqrt{5}+\sqrt{8})}=\frac{12(\sqrt{5}+\sqrt{8})}{5-8}=\frac{12(\sqrt{5}+\sqrt{8})}{-3}=-4(\sqrt{5}+\sqrt{8})$

Answer 2

Вот задание в) и зад г)