Question

решите пожалуйста примеры с 41 по 44!

Answer 1

$frac{15}{sqrt{3}} = frac{15 cdot sqrt{3}}{sqrt{3} cdot sqrt{3}}=frac{15 cdot sqrt{3}}{3}=5sqrt{3} \ \ frac{3}{sqrt{18}}=frac{3 cdot sqrt{18}}{sqrt{18} cdot sqrt{18}}=frac{3 cdot sqrt{2 cdot 9}}{18}=frac{3sqrt{2}}{6}=frac{sqrt{2}}{2} \ \ frac{1}{2-sqrt{2}}= frac{2+ sqrt{2}}{(2-sqrt{2}) cdot (2+sqrt{2})}=frac{2+sqrt{2}}{4 -2}=frac{2+sqrt{2}}{2}=1 +frac{sqrt{2}}{2}$

$\ \ frac{3}{sqrt{5} + sqrt{2}}=frac{3 cdot (sqrt{5}-sqrt{2})}{(sqrt{5}+sqrt{2}) cdot (sqrt{5}-sqrt{2})}=frac{3 cdot (sqrt{5}-sqrt{2})}{5-2}=frac{3 cdot (sqrt{5}-sqrt{2})}{3}=sqrt{5}-sqrt{2}$