Question

помогите с алгеброй, пожалуйста!

Answer 1

$displaystyle a)..frac{10}{ sqrt{5}}= frac{10* sqrt{5}}{ sqrt{5}* sqrt{5}}= frac{10 sqrt{5}}{5}=2 sqrt{5}; \ \ b).. frac{a}{ sqrt[3]{a}}= frac{a* sqrt[3]{a^{2}} }{ sqrt[3]{a}* sqrt[3]{a^{2}}}= frac{a* sqrt[3]{a^{2}} }{sqrt[3]{a^{3}}}= sqrt[3]{a^{2}}; \ \ c).. frac{1}{1- sqrt{3}}= frac{1+ sqrt{3}}{(1- sqrt{3})(1+ sqrt{3)}}}= frac{1+ sqrt{3}}{1-3}=- frac{1+ sqrt{3}}{2};$
$displaystyle d).. frac{ sqrt{a+b}}{ sqrt{a-b}}= frac{sqrt{a+b}*sqrt{a-b}}{sqrt{a-b}*sqrt{a-b}}= frac{sqrt{a^{2}-b^{2}}}{a-b}; \ \ \e).. frac{a}{sqrt{sqrt{a}}}= frac{a}{a^{1/4}}=a^{1-1/4}=a^{3/4}=sqrt[4]{a^{3}};$