Question

Тема: показательная функция. решите 5 и 7 номера! 

Answer 1

$(sqrt{3frac{3}{5}}-sqrt{6frac{2}{5}}):sqrt{frac{2}{45}}=(frac{sqrt{18}}{sqrt{5}}-frac{sqrt{32}}{sqrt{5}})*frac{sqrt{45}}{sqrt{2}}=frac{3sqrt{2}-4sqrt{2}}{sqrt{5}}*frac{3sqrt{5}}{sqrt{2}}= \ -frac{sqrt{2}}{sqrt{5}}*frac{3sqrt{5}}{sqrt{2}}= -3$


$sqrt[3]{4-sqrt5}*sqrt[3]{4+sqrt5}*sqrt[3]{121}=sqrt[3]{(4-sqrt5)(4+sqrt5)*121}= \ =sqrt[3]{(4^2-(sqrt5)^2)*121}=sqrt[3]{(16-5)*11^2}=sqrt[3]{11*11^2}=sqrt[3]{11^3}=11$