Question

помогите, пожалуйста

Answer 1

$sqrt{asqrt{asqrt{a}}}=sqrt{asqrt{a^1*a^frac{1}{2}}}=sqrt{asqrt{a^{frac{3}{2}}}}=sqrt{a*a^frac{3}{4}}=sqrt{a^{frac{7}{4}}}=a^frac{7}{8}\a^{frac{7}{8}}*a^{-frac{1}{8}}=a^frac{4}{8}=a^frac{1}{2}=sqrt{a}$


$sqrt{xsqrt{xsqrt{xsqrt{x}}}}=sqrt{x*x^frac{7}{8}}=sqrt{x^frac{15}{8}}=x^frac{15}{16}\x^frac{15}{16}:x^{-frac{3}{16}}=x^{frac{15}{16}-(-frac{3}{16})}}=x^frac{18}{16}=x^frac{9}{8}$