Question

У меня немного не сходится. Помогите 536 г и е

Answer 1

$frac{1}{sqrt5+sqrt3-sqrt2}*frac{sqrt5+sqrt3+sqrt2}{sqrt5+sqrt3+sqrt2}=frac{sqrt5+sqrt3+sqrt2}{(sqrt5+sqrt3)^2-2}=frac{sqrt5+sqrt3+sqrt2}{6+2sqrt15}*frac{6-2sqrt15}{6-2sqrt15}=\=-frac{6sqrt5+6sqrt3+2sqrt6-2sqrt{75}-2sqrt{45}+2sqrt{30}}{24}=frac{6sqrt5+6sqrt3+2sqrt6-2sqrt{75}-2sqrt{45}-2sqrt{30}}{-24}=\=frac{6sqrt5+6sqrt3+2sqrt6-10sqrt3-6sqrt5-2sqrt{30}}{-24}=frac{-4sqrt3+2sqrt6-2sqrt{30}}{-24}=frac{2sqrt3-sqrt6+sqrt{30}}{12}$


$frac{1}{sqrt{15}-sqrt{10}+sqrt3-sqrt2}=frac{1}{sqrt5(sqrt3-sqrt2)+sqrt3-sqrt2}=frac{1}{(sqrt5+1)(sqrt3-sqrt2)}*frac{sqrt3+sqrt2}{sqrt3+sqrt2}=\=frac{sqrt3+sqrt2}{sqrt5+1}*frac{sqrt5-1}{sqrt5-1}=frac{(sqrt3+sqrt2)(sqrt5-1)}{4}=frac{sqrt15-sqrt3+sqrt10-sqrt2}{4}$